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Finding the Fourth Proportional to 29.86, 45.02 and 27.70

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Solution

The fourth proportional to 29.86, 45.02 and 27.70 is: 41.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29.86 : 45.02 = 27.70 : x
  2. Step 2: Convert to fraction form
    29.86/45.02 = 27.70/x
  3. Step 3: Cross multiply
    29.86x = 45.02 × 27.70
  4. Step 4: Simplify right side
    29.86x = 1,246.69
  5. Step 5: Solve for x
    x = 1,246.69/29.86
  6. Step 6: Final answer
    x = 41.76

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.