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Finding the Fourth Proportional to 124.76, 172.31 and 102.68

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Solution

The fourth proportional to 124.76, 172.31 and 102.68 is: 141.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.76 : 172.31 = 102.68 : x
  2. Step 2: Convert to fraction form
    124.76/172.31 = 102.68/x
  3. Step 3: Cross multiply
    124.76x = 172.31 × 102.68
  4. Step 4: Simplify right side
    124.76x = 17,692.71
  5. Step 5: Solve for x
    x = 17,692.71/124.76
  6. Step 6: Final answer
    x = 141.82

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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.