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Finding the Fourth Proportional to 55.84, 84.08 and 45.08

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Solution

The fourth proportional to 55.84, 84.08 and 45.08 is: 67.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.84 : 84.08 = 45.08 : x
  2. Step 2: Convert to fraction form
    55.84/84.08 = 45.08/x
  3. Step 3: Cross multiply
    55.84x = 84.08 × 45.08
  4. Step 4: Simplify right side
    55.84x = 3,790.33
  5. Step 5: Solve for x
    x = 3,790.33/55.84
  6. Step 6: Final answer
    x = 67.88

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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.