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Finding the Fourth Proportional to 55.32, 83.07 and 52.98

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Solution

The fourth proportional to 55.32, 83.07 and 52.98 is: 79.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.32 : 83.07 = 52.98 : x
  2. Step 2: Convert to fraction form
    55.32/83.07 = 52.98/x
  3. Step 3: Cross multiply
    55.32x = 83.07 × 52.98
  4. Step 4: Simplify right side
    55.32x = 4,401.05
  5. Step 5: Solve for x
    x = 4,401.05/55.32
  6. Step 6: Final answer
    x = 79.56

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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.