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Finding the Fourth Proportional to 45.05, 61.78 and 43.52

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Solution

The fourth proportional to 45.05, 61.78 and 43.52 is: 59.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.05 : 61.78 = 43.52 : x
  2. Step 2: Convert to fraction form
    45.05/61.78 = 43.52/x
  3. Step 3: Cross multiply
    45.05x = 61.78 × 43.52
  4. Step 4: Simplify right side
    45.05x = 2,688.67
  5. Step 5: Solve for x
    x = 2,688.67/45.05
  6. Step 6: Final answer
    x = 59.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.