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Finding the Fourth Proportional to 60.16, 82.57 and 55.30

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Solution

The fourth proportional to 60.16, 82.57 and 55.30 is: 75.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.16 : 82.57 = 55.30 : x
  2. Step 2: Convert to fraction form
    60.16/82.57 = 55.30/x
  3. Step 3: Cross multiply
    60.16x = 82.57 × 55.30
  4. Step 4: Simplify right side
    60.16x = 4,566.12
  5. Step 5: Solve for x
    x = 4,566.12/60.16
  6. Step 6: Final answer
    x = 75.90

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.