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Finding the Fourth Proportional to 67.74, 101.54 and 42.00

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Solution

The fourth proportional to 67.74, 101.54 and 42.00 is: 62.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.74 : 101.54 = 42.00 : x
  2. Step 2: Convert to fraction form
    67.74/101.54 = 42.00/x
  3. Step 3: Cross multiply
    67.74x = 101.54 × 42.00
  4. Step 4: Simplify right side
    67.74x = 4,264.17
  5. Step 5: Solve for x
    x = 4,264.17/67.74
  6. Step 6: Final answer
    x = 62.95

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