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Finding the Fourth Proportional to 86.45, 129.72 and 32.38

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Solution

The fourth proportional to 86.45, 129.72 and 32.38 is: 48.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.45 : 129.72 = 32.38 : x
  2. Step 2: Convert to fraction form
    86.45/129.72 = 32.38/x
  3. Step 3: Cross multiply
    86.45x = 129.72 × 32.38
  4. Step 4: Simplify right side
    86.45x = 4,199.93
  5. Step 5: Solve for x
    x = 4,199.93/86.45
  6. Step 6: Final answer
    x = 48.58

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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.