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Finding the Fourth Proportional to 86.04, 129.01 and 57.12

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Solution

The fourth proportional to 86.04, 129.01 and 57.12 is: 85.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.04 : 129.01 = 57.12 : x
  2. Step 2: Convert to fraction form
    86.04/129.01 = 57.12/x
  3. Step 3: Cross multiply
    86.04x = 129.01 × 57.12
  4. Step 4: Simplify right side
    86.04x = 7,369.05
  5. Step 5: Solve for x
    x = 7,369.05/86.04
  6. Step 6: Final answer
    x = 85.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.