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Finding the Fourth Proportional to 76.88, 114.76 and 71.17

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Solution

The fourth proportional to 76.88, 114.76 and 71.17 is: 106.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 114.76 = 71.17 : x
  2. Step 2: Convert to fraction form
    76.88/114.76 = 71.17/x
  3. Step 3: Cross multiply
    76.88x = 114.76 × 71.17
  4. Step 4: Simplify right side
    76.88x = 8,167.47
  5. Step 5: Solve for x
    x = 8,167.47/76.88
  6. Step 6: Final answer
    x = 106.24

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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.