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Finding the Fourth Proportional to 55.88, 83.40 and 52.46

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Solution

The fourth proportional to 55.88, 83.40 and 52.46 is: 78.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.88 : 83.40 = 52.46 : x
  2. Step 2: Convert to fraction form
    55.88/83.40 = 52.46/x
  3. Step 3: Cross multiply
    55.88x = 83.40 × 52.46
  4. Step 4: Simplify right side
    55.88x = 4,375.16
  5. Step 5: Solve for x
    x = 4,375.16/55.88
  6. Step 6: Final answer
    x = 78.30

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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.