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Finding the Fourth Proportional to 84.16, 126.04 and 70.60

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Solution

The fourth proportional to 84.16, 126.04 and 70.60 is: 105.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.16 : 126.04 = 70.60 : x
  2. Step 2: Convert to fraction form
    84.16/126.04 = 70.60/x
  3. Step 3: Cross multiply
    84.16x = 126.04 × 70.60
  4. Step 4: Simplify right side
    84.16x = 8,898.42
  5. Step 5: Solve for x
    x = 8,898.42/84.16
  6. Step 6: Final answer
    x = 105.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.