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Finding the Fourth Proportional to 86.25, 129.28 and 40.02

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Solution

The fourth proportional to 86.25, 129.28 and 40.02 is: 59.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.25 : 129.28 = 40.02 : x
  2. Step 2: Convert to fraction form
    86.25/129.28 = 40.02/x
  3. Step 3: Cross multiply
    86.25x = 129.28 × 40.02
  4. Step 4: Simplify right side
    86.25x = 5,173.81
  5. Step 5: Solve for x
    x = 5,173.81/86.25
  6. Step 6: Final answer
    x = 59.99

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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.