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Finding the Fourth Proportional to 70.78, 106.00 and 45.02

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Solution

The fourth proportional to 70.78, 106.00 and 45.02 is: 67.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.78 : 106.00 = 45.02 : x
  2. Step 2: Convert to fraction form
    70.78/106.00 = 45.02/x
  3. Step 3: Cross multiply
    70.78x = 106.00 × 45.02
  4. Step 4: Simplify right side
    70.78x = 4,772.10
  5. Step 5: Solve for x
    x = 4,772.10/70.78
  6. Step 6: Final answer
    x = 67.42

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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.