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Finding the Fourth Proportional to 117.71, 162.33 and 76.24

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Solution

The fourth proportional to 117.71, 162.33 and 76.24 is: 105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.71 : 162.33 = 76.24 : x
  2. Step 2: Convert to fraction form
    117.71/162.33 = 76.24/x
  3. Step 3: Cross multiply
    117.71x = 162.33 × 76.24
  4. Step 4: Simplify right side
    117.71x = 12,375.96
  5. Step 5: Solve for x
    x = 12,375.96/117.71
  6. Step 6: Final answer
    x = 105.14

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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.