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Finding the Fourth Proportional to 59.23, 81.78 and 42.86

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Solution

The fourth proportional to 59.23, 81.78 and 42.86 is: 59.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.23 : 81.78 = 42.86 : x
  2. Step 2: Convert to fraction form
    59.23/81.78 = 42.86/x
  3. Step 3: Cross multiply
    59.23x = 81.78 × 42.86
  4. Step 4: Simplify right side
    59.23x = 3,505.13
  5. Step 5: Solve for x
    x = 3,505.13/59.23
  6. Step 6: Final answer
    x = 59.18

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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.