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Finding the Fourth Proportional to 74.56, 102.82 and 52.72

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Solution

The fourth proportional to 74.56, 102.82 and 52.72 is: 72.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.56 : 102.82 = 52.72 : x
  2. Step 2: Convert to fraction form
    74.56/102.82 = 52.72/x
  3. Step 3: Cross multiply
    74.56x = 102.82 × 52.72
  4. Step 4: Simplify right side
    74.56x = 5,420.67
  5. Step 5: Solve for x
    x = 5,420.67/74.56
  6. Step 6: Final answer
    x = 72.70

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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.