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Finding the Fourth Proportional to 45.41, 67.76 and 42.00

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Solution

The fourth proportional to 45.41, 67.76 and 42.00 is: 62.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.41 : 67.76 = 42.00 : x
  2. Step 2: Convert to fraction form
    45.41/67.76 = 42.00/x
  3. Step 3: Cross multiply
    45.41x = 67.76 × 42.00
  4. Step 4: Simplify right side
    45.41x = 2,845.61
  5. Step 5: Solve for x
    x = 2,845.61/45.41
  6. Step 6: Final answer
    x = 62.67

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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.