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Finding the Fourth Proportional to 59.59, 82.10 and 42.04

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Solution

The fourth proportional to 59.59, 82.10 and 42.04 is: 57.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.59 : 82.10 = 42.04 : x
  2. Step 2: Convert to fraction form
    59.59/82.10 = 42.04/x
  3. Step 3: Cross multiply
    59.59x = 82.10 × 42.04
  4. Step 4: Simplify right side
    59.59x = 3,450.86
  5. Step 5: Solve for x
    x = 3,450.86/59.59
  6. Step 6: Final answer
    x = 57.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.