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Finding the Fourth Proportional to 74.31, 111.35 and 55.08

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Solution

The fourth proportional to 74.31, 111.35 and 55.08 is: 82.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.31 : 111.35 = 55.08 : x
  2. Step 2: Convert to fraction form
    74.31/111.35 = 55.08/x
  3. Step 3: Cross multiply
    74.31x = 111.35 × 55.08
  4. Step 4: Simplify right side
    74.31x = 6,133.30
  5. Step 5: Solve for x
    x = 6,133.30/74.31
  6. Step 6: Final answer
    x = 82.54

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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.