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Finding the Fourth Proportional to 86.52, 129.64 and 35.13

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Solution

The fourth proportional to 86.52, 129.64 and 35.13 is: 52.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.52 : 129.64 = 35.13 : x
  2. Step 2: Convert to fraction form
    86.52/129.64 = 35.13/x
  3. Step 3: Cross multiply
    86.52x = 129.64 × 35.13
  4. Step 4: Simplify right side
    86.52x = 4,554.25
  5. Step 5: Solve for x
    x = 4,554.25/86.52
  6. Step 6: Final answer
    x = 52.64

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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.