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Finding the Fourth Proportional to 116.07, 159.89 and 84.90

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Solution

The fourth proportional to 116.07, 159.89 and 84.90 is: 116.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.07 : 159.89 = 84.90 : x
  2. Step 2: Convert to fraction form
    116.07/159.89 = 84.90/x
  3. Step 3: Cross multiply
    116.07x = 159.89 × 84.90
  4. Step 4: Simplify right side
    116.07x = 13,574.24
  5. Step 5: Solve for x
    x = 13,574.24/116.07
  6. Step 6: Final answer
    x = 116.95

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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.