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Finding the Fourth Proportional to 124.71, 172.13 and 85.38

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Solution

The fourth proportional to 124.71, 172.13 and 85.38 is: 117.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.71 : 172.13 = 85.38 : x
  2. Step 2: Convert to fraction form
    124.71/172.13 = 85.38/x
  3. Step 3: Cross multiply
    124.71x = 172.13 × 85.38
  4. Step 4: Simplify right side
    124.71x = 14,696.03
  5. Step 5: Solve for x
    x = 14,696.03/124.71
  6. Step 6: Final answer
    x = 117.84

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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.