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Finding the Fourth Proportional to 60.02, 89.82 and 42.02

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Solution

The fourth proportional to 60.02, 89.82 and 42.02 is: 62.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.02 : 89.82 = 42.02 : x
  2. Step 2: Convert to fraction form
    60.02/89.82 = 42.02/x
  3. Step 3: Cross multiply
    60.02x = 89.82 × 42.02
  4. Step 4: Simplify right side
    60.02x = 3,774.24
  5. Step 5: Solve for x
    x = 3,774.24/60.02
  6. Step 6: Final answer
    x = 62.88

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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.