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Finding the Fourth Proportional to 74.31, 102.32 and 57.90

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Solution

The fourth proportional to 74.31, 102.32 and 57.90 is: 79.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.31 : 102.32 = 57.90 : x
  2. Step 2: Convert to fraction form
    74.31/102.32 = 57.90/x
  3. Step 3: Cross multiply
    74.31x = 102.32 × 57.90
  4. Step 4: Simplify right side
    74.31x = 5,924.33
  5. Step 5: Solve for x
    x = 5,924.33/74.31
  6. Step 6: Final answer
    x = 79.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.