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Finding the Fourth Proportional to 60.32, 90.45 and 28.23

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Solution

The fourth proportional to 60.32, 90.45 and 28.23 is: 42.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.32 : 90.45 = 28.23 : x
  2. Step 2: Convert to fraction form
    60.32/90.45 = 28.23/x
  3. Step 3: Cross multiply
    60.32x = 90.45 × 28.23
  4. Step 4: Simplify right side
    60.32x = 2,553.40
  5. Step 5: Solve for x
    x = 2,553.40/60.32
  6. Step 6: Final answer
    x = 42.33

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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.