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Finding the Fourth Proportional to 114.71, 172.12 and 56.97

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Solution

The fourth proportional to 114.71, 172.12 and 56.97 is: 85.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.71 : 172.12 = 56.97 : x
  2. Step 2: Convert to fraction form
    114.71/172.12 = 56.97/x
  3. Step 3: Cross multiply
    114.71x = 172.12 × 56.97
  4. Step 4: Simplify right side
    114.71x = 9,805.53
  5. Step 5: Solve for x
    x = 9,805.53/114.71
  6. Step 6: Final answer
    x = 85.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.