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Finding the Fourth Proportional to 78.01, 116.92 and 58.68

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Solution

The fourth proportional to 78.01, 116.92 and 58.68 is: 87.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.01 : 116.92 = 58.68 : x
  2. Step 2: Convert to fraction form
    78.01/116.92 = 58.68/x
  3. Step 3: Cross multiply
    78.01x = 116.92 × 58.68
  4. Step 4: Simplify right side
    78.01x = 6,860.87
  5. Step 5: Solve for x
    x = 6,860.87/78.01
  6. Step 6: Final answer
    x = 87.95

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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.