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Finding the Fourth Proportional to 49.71, 74.55 and 42.93

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Solution

The fourth proportional to 49.71, 74.55 and 42.93 is: 64.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.71 : 74.55 = 42.93 : x
  2. Step 2: Convert to fraction form
    49.71/74.55 = 42.93/x
  3. Step 3: Cross multiply
    49.71x = 74.55 × 42.93
  4. Step 4: Simplify right side
    49.71x = 3,200.43
  5. Step 5: Solve for x
    x = 3,200.43/49.71
  6. Step 6: Final answer
    x = 64.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.