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Finding the Fourth Proportional to 55.53, 83.23 and 52.70

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Solution

The fourth proportional to 55.53, 83.23 and 52.70 is: 78.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.53 : 83.23 = 52.70 : x
  2. Step 2: Convert to fraction form
    55.53/83.23 = 52.70/x
  3. Step 3: Cross multiply
    55.53x = 83.23 × 52.70
  4. Step 4: Simplify right side
    55.53x = 4,385.67
  5. Step 5: Solve for x
    x = 4,385.67/55.53
  6. Step 6: Final answer
    x = 78.98

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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.