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Finding the Fourth Proportional to 84.10, 116.08 and 48.66

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Solution

The fourth proportional to 84.10, 116.08 and 48.66 is: 67.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.10 : 116.08 = 48.66 : x
  2. Step 2: Convert to fraction form
    84.10/116.08 = 48.66/x
  3. Step 3: Cross multiply
    84.10x = 116.08 × 48.66
  4. Step 4: Simplify right side
    84.10x = 5,648.45
  5. Step 5: Solve for x
    x = 5,648.45/84.10
  6. Step 6: Final answer
    x = 67.16

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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.