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Finding the Fourth Proportional to 60.78, 90.52 and 57.66

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Solution

The fourth proportional to 60.78, 90.52 and 57.66 is: 85.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.78 : 90.52 = 57.66 : x
  2. Step 2: Convert to fraction form
    60.78/90.52 = 57.66/x
  3. Step 3: Cross multiply
    60.78x = 90.52 × 57.66
  4. Step 4: Simplify right side
    60.78x = 5,219.38
  5. Step 5: Solve for x
    x = 5,219.38/60.78
  6. Step 6: Final answer
    x = 85.87

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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.