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Finding the Fourth Proportional to 60.42, 90.10 and 57.08

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Solution

The fourth proportional to 60.42, 90.10 and 57.08 is: 85.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.42 : 90.10 = 57.08 : x
  2. Step 2: Convert to fraction form
    60.42/90.10 = 57.08/x
  3. Step 3: Cross multiply
    60.42x = 90.10 × 57.08
  4. Step 4: Simplify right side
    60.42x = 5,142.91
  5. Step 5: Solve for x
    x = 5,142.91/60.42
  6. Step 6: Final answer
    x = 85.12

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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.