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Finding the Fourth Proportional to 70.40, 106.09 and 63.55

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Solution

The fourth proportional to 70.40, 106.09 and 63.55 is: 95.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.40 : 106.09 = 63.55 : x
  2. Step 2: Convert to fraction form
    70.40/106.09 = 63.55/x
  3. Step 3: Cross multiply
    70.40x = 106.09 × 63.55
  4. Step 4: Simplify right side
    70.40x = 6,742.02
  5. Step 5: Solve for x
    x = 6,742.02/70.40
  6. Step 6: Final answer
    x = 95.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.