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Finding the Fourth Proportional to 74.21, 102.56 and 61.08

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Solution

The fourth proportional to 74.21, 102.56 and 61.08 is: 84.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.21 : 102.56 = 61.08 : x
  2. Step 2: Convert to fraction form
    74.21/102.56 = 61.08/x
  3. Step 3: Cross multiply
    74.21x = 102.56 × 61.08
  4. Step 4: Simplify right side
    74.21x = 6,264.52
  5. Step 5: Solve for x
    x = 6,264.52/74.21
  6. Step 6: Final answer
    x = 84.41

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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.