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Finding the Fourth Proportional to 55.08, 83.03 and 49.14

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Solution

The fourth proportional to 55.08, 83.03 and 49.14 is: 74.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.08 : 83.03 = 49.14 : x
  2. Step 2: Convert to fraction form
    55.08/83.03 = 49.14/x
  3. Step 3: Cross multiply
    55.08x = 83.03 × 49.14
  4. Step 4: Simplify right side
    55.08x = 4,079.85
  5. Step 5: Solve for x
    x = 4,079.85/55.08
  6. Step 6: Final answer
    x = 74.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.