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Finding the Fourth Proportional to 70.80, 106.29 and 55.64

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Solution

The fourth proportional to 70.80, 106.29 and 55.64 is: 83.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.80 : 106.29 = 55.64 : x
  2. Step 2: Convert to fraction form
    70.80/106.29 = 55.64/x
  3. Step 3: Cross multiply
    70.80x = 106.29 × 55.64
  4. Step 4: Simplify right side
    70.80x = 5,913.44
  5. Step 5: Solve for x
    x = 5,913.44/70.80
  6. Step 6: Final answer
    x = 83.52

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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.