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Finding the Fourth Proportional to 55.80, 83.16 and 52.80

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Solution

The fourth proportional to 55.80, 83.16 and 52.80 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.80 : 83.16 = 52.80 : x
  2. Step 2: Convert to fraction form
    55.80/83.16 = 52.80/x
  3. Step 3: Cross multiply
    55.80x = 83.16 × 52.80
  4. Step 4: Simplify right side
    55.80x = 4,390.85
  5. Step 5: Solve for x
    x = 4,390.85/55.80
  6. Step 6: Final answer
    x = 78.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.