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Finding the Fourth Proportional to 67.56, 101.08 and 42.86

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Solution

The fourth proportional to 67.56, 101.08 and 42.86 is: 64.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.56 : 101.08 = 42.86 : x
  2. Step 2: Convert to fraction form
    67.56/101.08 = 42.86/x
  3. Step 3: Cross multiply
    67.56x = 101.08 × 42.86
  4. Step 4: Simplify right side
    67.56x = 4,332.29
  5. Step 5: Solve for x
    x = 4,332.29/67.56
  6. Step 6: Final answer
    x = 64.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.