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Finding the Fourth Proportional to 116.71, 174.24 and 96.46

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Solution

The fourth proportional to 116.71, 174.24 and 96.46 is: 144.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.71 : 174.24 = 96.46 : x
  2. Step 2: Convert to fraction form
    116.71/174.24 = 96.46/x
  3. Step 3: Cross multiply
    116.71x = 174.24 × 96.46
  4. Step 4: Simplify right side
    116.71x = 16,806.71
  5. Step 5: Solve for x
    x = 16,806.71/116.71
  6. Step 6: Final answer
    x = 144.00

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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.