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Finding the Fourth Proportional to 67.86, 101.37 and 58.18

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Solution

The fourth proportional to 67.86, 101.37 and 58.18 is: 86.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.86 : 101.37 = 58.18 : x
  2. Step 2: Convert to fraction form
    67.86/101.37 = 58.18/x
  3. Step 3: Cross multiply
    67.86x = 101.37 × 58.18
  4. Step 4: Simplify right side
    67.86x = 5,897.71
  5. Step 5: Solve for x
    x = 5,897.71/67.86
  6. Step 6: Final answer
    x = 86.91

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.