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Finding the Fourth Proportional to 113.86, 170.65 and 101.71

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Solution

The fourth proportional to 113.86, 170.65 and 101.71 is: 152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.86 : 170.65 = 101.71 : x
  2. Step 2: Convert to fraction form
    113.86/170.65 = 101.71/x
  3. Step 3: Cross multiply
    113.86x = 170.65 × 101.71
  4. Step 4: Simplify right side
    113.86x = 17,356.81
  5. Step 5: Solve for x
    x = 17,356.81/113.86
  6. Step 6: Final answer
    x = 152.44

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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.