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Finding the Fourth Proportional to 92.81, 128.10 and 54.02

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Solution

The fourth proportional to 92.81, 128.10 and 54.02 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 128.10 = 54.02 : x
  2. Step 2: Convert to fraction form
    92.81/128.10 = 54.02/x
  3. Step 3: Cross multiply
    92.81x = 128.10 × 54.02
  4. Step 4: Simplify right side
    92.81x = 6,920.48
  5. Step 5: Solve for x
    x = 6,920.48/92.81
  6. Step 6: Final answer
    x = 74.56

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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.