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Finding the Fourth Proportional to 55.92, 83.38 and 52.40

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Solution

The fourth proportional to 55.92, 83.38 and 52.40 is: 78.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.92 : 83.38 = 52.40 : x
  2. Step 2: Convert to fraction form
    55.92/83.38 = 52.40/x
  3. Step 3: Cross multiply
    55.92x = 83.38 × 52.40
  4. Step 4: Simplify right side
    55.92x = 4,369.11
  5. Step 5: Solve for x
    x = 4,369.11/55.92
  6. Step 6: Final answer
    x = 78.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.