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Finding the Fourth Proportional to 117.71, 175.32 and 116.11

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Solution

The fourth proportional to 117.71, 175.32 and 116.11 is: 172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.71 : 175.32 = 116.11 : x
  2. Step 2: Convert to fraction form
    117.71/175.32 = 116.11/x
  3. Step 3: Cross multiply
    117.71x = 175.32 × 116.11
  4. Step 4: Simplify right side
    117.71x = 20,355.53
  5. Step 5: Solve for x
    x = 20,355.53/117.71
  6. Step 6: Final answer
    x = 172.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.