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Finding the Fourth Proportional to 84.90, 117.42 and 76.74

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Solution

The fourth proportional to 84.90, 117.42 and 76.74 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.90 : 117.42 = 76.74 : x
  2. Step 2: Convert to fraction form
    84.90/117.42 = 76.74/x
  3. Step 3: Cross multiply
    84.90x = 117.42 × 76.74
  4. Step 4: Simplify right side
    84.90x = 9,010.81
  5. Step 5: Solve for x
    x = 9,010.81/84.90
  6. Step 6: Final answer
    x = 106.13

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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.