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Finding the Fourth Proportional to 131.58, 181.17 and 107.10

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Solution

The fourth proportional to 131.58, 181.17 and 107.10 is: 147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.58 : 181.17 = 107.10 : x
  2. Step 2: Convert to fraction form
    131.58/181.17 = 107.10/x
  3. Step 3: Cross multiply
    131.58x = 181.17 × 107.10
  4. Step 4: Simplify right side
    131.58x = 19,403.31
  5. Step 5: Solve for x
    x = 19,403.31/131.58
  6. Step 6: Final answer
    x = 147.46

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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.