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Finding the Fourth Proportional to 52.40, 78.57 and 21.96

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Solution

The fourth proportional to 52.40, 78.57 and 21.96 is: 32.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.57 = 21.96 : x
  2. Step 2: Convert to fraction form
    52.40/78.57 = 21.96/x
  3. Step 3: Cross multiply
    52.40x = 78.57 × 21.96
  4. Step 4: Simplify right side
    52.40x = 1,725.40
  5. Step 5: Solve for x
    x = 1,725.40/52.40
  6. Step 6: Final answer
    x = 32.93

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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.