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Finding the Fourth Proportional to 62.72, 93.84 and 58.40

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Solution

The fourth proportional to 62.72, 93.84 and 58.40 is: 87.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.72 : 93.84 = 58.40 : x
  2. Step 2: Convert to fraction form
    62.72/93.84 = 58.40/x
  3. Step 3: Cross multiply
    62.72x = 93.84 × 58.40
  4. Step 4: Simplify right side
    62.72x = 5,480.26
  5. Step 5: Solve for x
    x = 5,480.26/62.72
  6. Step 6: Final answer
    x = 87.38

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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.