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Finding the Fourth Proportional to 70.78, 105.95 and 45.13

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Solution

The fourth proportional to 70.78, 105.95 and 45.13 is: 67.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.78 : 105.95 = 45.13 : x
  2. Step 2: Convert to fraction form
    70.78/105.95 = 45.13/x
  3. Step 3: Cross multiply
    70.78x = 105.95 × 45.13
  4. Step 4: Simplify right side
    70.78x = 4,781.03
  5. Step 5: Solve for x
    x = 4,781.03/70.78
  6. Step 6: Final answer
    x = 67.55

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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.