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Finding the Fourth Proportional to 131.32, 180.90 and 106.70

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Solution

The fourth proportional to 131.32, 180.90 and 106.70 is: 146.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131.32 : 180.90 = 106.70 : x
  2. Step 2: Convert to fraction form
    131.32/180.90 = 106.70/x
  3. Step 3: Cross multiply
    131.32x = 180.90 × 106.70
  4. Step 4: Simplify right side
    131.32x = 19,302.03
  5. Step 5: Solve for x
    x = 19,302.03/131.32
  6. Step 6: Final answer
    x = 146.98

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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.