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Finding the Fourth Proportional to 114.92, 172.47 and 54.02

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Solution

The fourth proportional to 114.92, 172.47 and 54.02 is: 81.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.92 : 172.47 = 54.02 : x
  2. Step 2: Convert to fraction form
    114.92/172.47 = 54.02/x
  3. Step 3: Cross multiply
    114.92x = 172.47 × 54.02
  4. Step 4: Simplify right side
    114.92x = 9,316.83
  5. Step 5: Solve for x
    x = 9,316.83/114.92
  6. Step 6: Final answer
    x = 81.07

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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.