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Finding the Fourth Proportional to 52.79, 72.88 and 35.33

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Solution

The fourth proportional to 52.79, 72.88 and 35.33 is: 48.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.79 : 72.88 = 35.33 : x
  2. Step 2: Convert to fraction form
    52.79/72.88 = 35.33/x
  3. Step 3: Cross multiply
    52.79x = 72.88 × 35.33
  4. Step 4: Simplify right side
    52.79x = 2,574.85
  5. Step 5: Solve for x
    x = 2,574.85/52.79
  6. Step 6: Final answer
    x = 48.78

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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.