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Finding the Fourth Proportional to 86.66, 129.36 and 76.53

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Solution

The fourth proportional to 86.66, 129.36 and 76.53 is: 114.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.66 : 129.36 = 76.53 : x
  2. Step 2: Convert to fraction form
    86.66/129.36 = 76.53/x
  3. Step 3: Cross multiply
    86.66x = 129.36 × 76.53
  4. Step 4: Simplify right side
    86.66x = 9,899.32
  5. Step 5: Solve for x
    x = 9,899.32/86.66
  6. Step 6: Final answer
    x = 114.23

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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.