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Finding the Fourth Proportional to 86.32, 129.63 and 77.51

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Solution

The fourth proportional to 86.32, 129.63 and 77.51 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.32 : 129.63 = 77.51 : x
  2. Step 2: Convert to fraction form
    86.32/129.63 = 77.51/x
  3. Step 3: Cross multiply
    86.32x = 129.63 × 77.51
  4. Step 4: Simplify right side
    86.32x = 10,047.62
  5. Step 5: Solve for x
    x = 10,047.62/86.32
  6. Step 6: Final answer
    x = 116.41

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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.