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Finding the Fourth Proportional to 131.02, 180.29 and 107.17

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Solution

The fourth proportional to 131.02, 180.29 and 107.17 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.02 : 180.29 = 107.17 : x
  2. Step 2: Convert to fraction form
    131.02/180.29 = 107.17/x
  3. Step 3: Cross multiply
    131.02x = 180.29 × 107.17
  4. Step 4: Simplify right side
    131.02x = 19,321.77
  5. Step 5: Solve for x
    x = 19,321.77/131.02
  6. Step 6: Final answer
    x = 147.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.