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Finding the Fourth Proportional to 39.76, 54.72 and 30.53

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Solution

The fourth proportional to 39.76, 54.72 and 30.53 is: 42.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.76 : 54.72 = 30.53 : x
  2. Step 2: Convert to fraction form
    39.76/54.72 = 30.53/x
  3. Step 3: Cross multiply
    39.76x = 54.72 × 30.53
  4. Step 4: Simplify right side
    39.76x = 1,670.60
  5. Step 5: Solve for x
    x = 1,670.60/39.76
  6. Step 6: Final answer
    x = 42.02

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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.