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Finding the Fourth Proportional to 60.54, 90.63 and 40.20

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Solution

The fourth proportional to 60.54, 90.63 and 40.20 is: 60.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60.54 : 90.63 = 40.20 : x
  2. Step 2: Convert to fraction form
    60.54/90.63 = 40.20/x
  3. Step 3: Cross multiply
    60.54x = 90.63 × 40.20
  4. Step 4: Simplify right side
    60.54x = 3,643.33
  5. Step 5: Solve for x
    x = 3,643.33/60.54
  6. Step 6: Final answer
    x = 60.18

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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.