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Finding the Fourth Proportional to 52.23, 72.17 and 48.18

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Solution

The fourth proportional to 52.23, 72.17 and 48.18 is: 66.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 72.17 = 48.18 : x
  2. Step 2: Convert to fraction form
    52.23/72.17 = 48.18/x
  3. Step 3: Cross multiply
    52.23x = 72.17 × 48.18
  4. Step 4: Simplify right side
    52.23x = 3,477.15
  5. Step 5: Solve for x
    x = 3,477.15/52.23
  6. Step 6: Final answer
    x = 66.57

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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.