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Finding the Fourth Proportional to 74.06, 102.25 and 56.54

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Solution

The fourth proportional to 74.06, 102.25 and 56.54 is: 78.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 102.25 = 56.54 : x
  2. Step 2: Convert to fraction form
    74.06/102.25 = 56.54/x
  3. Step 3: Cross multiply
    74.06x = 102.25 × 56.54
  4. Step 4: Simplify right side
    74.06x = 5,781.33
  5. Step 5: Solve for x
    x = 5,781.33/74.06
  6. Step 6: Final answer
    x = 78.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.