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Finding the Fourth Proportional to 116.98, 176.12 and 91.45

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Solution

The fourth proportional to 116.98, 176.12 and 91.45 is: 137.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.98 : 176.12 = 91.45 : x
  2. Step 2: Convert to fraction form
    116.98/176.12 = 91.45/x
  3. Step 3: Cross multiply
    116.98x = 176.12 × 91.45
  4. Step 4: Simplify right side
    116.98x = 16,106.17
  5. Step 5: Solve for x
    x = 16,106.17/116.98
  6. Step 6: Final answer
    x = 137.68

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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.