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Finding the Fourth Proportional to 71.33, 98.45 and 42.21

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Solution

The fourth proportional to 71.33, 98.45 and 42.21 is: 58.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.33 : 98.45 = 42.21 : x
  2. Step 2: Convert to fraction form
    71.33/98.45 = 42.21/x
  3. Step 3: Cross multiply
    71.33x = 98.45 × 42.21
  4. Step 4: Simplify right side
    71.33x = 4,155.36
  5. Step 5: Solve for x
    x = 4,155.36/71.33
  6. Step 6: Final answer
    x = 58.26

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