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Finding the Fourth Proportional to 60.22, 90.29 and 27.72

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Solution

The fourth proportional to 60.22, 90.29 and 27.72 is: 41.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.22 : 90.29 = 27.72 : x
  2. Step 2: Convert to fraction form
    60.22/90.29 = 27.72/x
  3. Step 3: Cross multiply
    60.22x = 90.29 × 27.72
  4. Step 4: Simplify right side
    60.22x = 2,502.58
  5. Step 5: Solve for x
    x = 2,502.58/60.22
  6. Step 6: Final answer
    x = 41.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.