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Finding the Fourth Proportional to 86.85, 130.25 and 58.16

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Solution

The fourth proportional to 86.85, 130.25 and 58.16 is: 87.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.85 : 130.25 = 58.16 : x
  2. Step 2: Convert to fraction form
    86.85/130.25 = 58.16/x
  3. Step 3: Cross multiply
    86.85x = 130.25 × 58.16
  4. Step 4: Simplify right side
    86.85x = 7,575.81
  5. Step 5: Solve for x
    x = 7,575.81/86.85
  6. Step 6: Final answer
    x = 87.23

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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.