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Finding the Fourth Proportional to 86.04, 129.53 and 59.16

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Solution

The fourth proportional to 86.04, 129.53 and 59.16 is: 89.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.04 : 129.53 = 59.16 : x
  2. Step 2: Convert to fraction form
    86.04/129.53 = 59.16/x
  3. Step 3: Cross multiply
    86.04x = 129.53 × 59.16
  4. Step 4: Simplify right side
    86.04x = 7,663.47
  5. Step 5: Solve for x
    x = 7,663.47/86.04
  6. Step 6: Final answer
    x = 89.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.