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Finding the Fourth Proportional to 116.07, 159.97 and 84.99

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Solution

The fourth proportional to 116.07, 159.97 and 84.99 is: 117.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.07 : 159.97 = 84.99 : x
  2. Step 2: Convert to fraction form
    116.07/159.97 = 84.99/x
  3. Step 3: Cross multiply
    116.07x = 159.97 × 84.99
  4. Step 4: Simplify right side
    116.07x = 13,595.85
  5. Step 5: Solve for x
    x = 13,595.85/116.07
  6. Step 6: Final answer
    x = 117.13

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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.