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Finding the Fourth Proportional to 45.02, 67.12 and 40.76

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Solution

The fourth proportional to 45.02, 67.12 and 40.76 is: 60.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.02 : 67.12 = 40.76 : x
  2. Step 2: Convert to fraction form
    45.02/67.12 = 40.76/x
  3. Step 3: Cross multiply
    45.02x = 67.12 × 40.76
  4. Step 4: Simplify right side
    45.02x = 2,735.81
  5. Step 5: Solve for x
    x = 2,735.81/45.02
  6. Step 6: Final answer
    x = 60.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.