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Finding the Fourth Proportional to 78.59, 117.73 and 40.02

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Solution

The fourth proportional to 78.59, 117.73 and 40.02 is: 59.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.59 : 117.73 = 40.02 : x
  2. Step 2: Convert to fraction form
    78.59/117.73 = 40.02/x
  3. Step 3: Cross multiply
    78.59x = 117.73 × 40.02
  4. Step 4: Simplify right side
    78.59x = 4,712.05
  5. Step 5: Solve for x
    x = 4,712.05/78.59
  6. Step 6: Final answer
    x = 59.96

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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.