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Finding the Fourth Proportional to 116.88, 176.07 and 96.72

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Solution

The fourth proportional to 116.88, 176.07 and 96.72 is: 145.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.88 : 176.07 = 96.72 : x
  2. Step 2: Convert to fraction form
    116.88/176.07 = 96.72/x
  3. Step 3: Cross multiply
    116.88x = 176.07 × 96.72
  4. Step 4: Simplify right side
    116.88x = 17,029.49
  5. Step 5: Solve for x
    x = 17,029.49/116.88
  6. Step 6: Final answer
    x = 145.70

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.