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Finding the Fourth Proportional to 86.24, 129.32 and 45.65

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Solution

The fourth proportional to 86.24, 129.32 and 45.65 is: 68.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.24 : 129.32 = 45.65 : x
  2. Step 2: Convert to fraction form
    86.24/129.32 = 45.65/x
  3. Step 3: Cross multiply
    86.24x = 129.32 × 45.65
  4. Step 4: Simplify right side
    86.24x = 5,903.67
  5. Step 5: Solve for x
    x = 5,903.67/86.24
  6. Step 6: Final answer
    x = 68.46

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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.