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Finding the Fourth Proportional to 62.78, 93.73 and 58.02

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Solution

The fourth proportional to 62.78, 93.73 and 58.02 is: 86.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.78 : 93.73 = 58.02 : x
  2. Step 2: Convert to fraction form
    62.78/93.73 = 58.02/x
  3. Step 3: Cross multiply
    62.78x = 93.73 × 58.02
  4. Step 4: Simplify right side
    62.78x = 5,438.21
  5. Step 5: Solve for x
    x = 5,438.21/62.78
  6. Step 6: Final answer
    x = 86.62

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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.