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Finding the Fourth Proportional to 113.27, 156.31 and 64.15

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Solution

The fourth proportional to 113.27, 156.31 and 64.15 is: 88.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.27 : 156.31 = 64.15 : x
  2. Step 2: Convert to fraction form
    113.27/156.31 = 64.15/x
  3. Step 3: Cross multiply
    113.27x = 156.31 × 64.15
  4. Step 4: Simplify right side
    113.27x = 10,026.74
  5. Step 5: Solve for x
    x = 10,026.74/113.27
  6. Step 6: Final answer
    x = 88.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.