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Finding the Fourth Proportional to 61.76, 85.22 and 42.36

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Solution

The fourth proportional to 61.76, 85.22 and 42.36 is: 58.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 85.22 = 42.36 : x
  2. Step 2: Convert to fraction form
    61.76/85.22 = 42.36/x
  3. Step 3: Cross multiply
    61.76x = 85.22 × 42.36
  4. Step 4: Simplify right side
    61.76x = 3,609.92
  5. Step 5: Solve for x
    x = 3,609.92/61.76
  6. Step 6: Final answer
    x = 58.45

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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.