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Finding the Fourth Proportional to 86.10, 129.06 and 45.46

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Solution

The fourth proportional to 86.10, 129.06 and 45.46 is: 68.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.10 : 129.06 = 45.46 : x
  2. Step 2: Convert to fraction form
    86.10/129.06 = 45.46/x
  3. Step 3: Cross multiply
    86.10x = 129.06 × 45.46
  4. Step 4: Simplify right side
    86.10x = 5,867.23
  5. Step 5: Solve for x
    x = 5,867.23/86.10
  6. Step 6: Final answer
    x = 68.15

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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.