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Finding the Fourth Proportional to 117.87, 162.71 and 74.23

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Solution

The fourth proportional to 117.87, 162.71 and 74.23 is: 102.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.87 : 162.71 = 74.23 : x
  2. Step 2: Convert to fraction form
    117.87/162.71 = 74.23/x
  3. Step 3: Cross multiply
    117.87x = 162.71 × 74.23
  4. Step 4: Simplify right side
    117.87x = 12,077.96
  5. Step 5: Solve for x
    x = 12,077.96/117.87
  6. Step 6: Final answer
    x = 102.47

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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.