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Finding the Fourth Proportional to 113.63, 170.31 and 86.50

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Solution

The fourth proportional to 113.63, 170.31 and 86.50 is: 129.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.63 : 170.31 = 86.50 : x
  2. Step 2: Convert to fraction form
    113.63/170.31 = 86.50/x
  3. Step 3: Cross multiply
    113.63x = 170.31 × 86.50
  4. Step 4: Simplify right side
    113.63x = 14,731.71
  5. Step 5: Solve for x
    x = 14,731.71/113.63
  6. Step 6: Final answer
    x = 129.64

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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.