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Finding the Fourth Proportional to 52.57, 78.86 and 16.01

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Solution

The fourth proportional to 52.57, 78.86 and 16.01 is: 24.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.57 : 78.86 = 16.01 : x
  2. Step 2: Convert to fraction form
    52.57/78.86 = 16.01/x
  3. Step 3: Cross multiply
    52.57x = 78.86 × 16.01
  4. Step 4: Simplify right side
    52.57x = 1,262.47
  5. Step 5: Solve for x
    x = 1,262.47/52.57
  6. Step 6: Final answer
    x = 24.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.