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Finding the Fourth Proportional to 86.14, 129.07 and 65.80

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Solution

The fourth proportional to 86.14, 129.07 and 65.80 is: 98.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.14 : 129.07 = 65.80 : x
  2. Step 2: Convert to fraction form
    86.14/129.07 = 65.80/x
  3. Step 3: Cross multiply
    86.14x = 129.07 × 65.80
  4. Step 4: Simplify right side
    86.14x = 8,492.81
  5. Step 5: Solve for x
    x = 8,492.81/86.14
  6. Step 6: Final answer
    x = 98.59

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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.