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Finding the Fourth Proportional to 86.44, 129.70 and 35.12

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Solution

The fourth proportional to 86.44, 129.70 and 35.12 is: 52.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.44 : 129.70 = 35.12 : x
  2. Step 2: Convert to fraction form
    86.44/129.70 = 35.12/x
  3. Step 3: Cross multiply
    86.44x = 129.70 × 35.12
  4. Step 4: Simplify right side
    86.44x = 4,554.24
  5. Step 5: Solve for x
    x = 4,554.24/86.44
  6. Step 6: Final answer
    x = 52.69

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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.