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Finding the Fourth Proportional to 52.40, 78.56 and 18.16

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Solution

The fourth proportional to 52.40, 78.56 and 18.16 is: 27.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 78.56 = 18.16 : x
  2. Step 2: Convert to fraction form
    52.40/78.56 = 18.16/x
  3. Step 3: Cross multiply
    52.40x = 78.56 × 18.16
  4. Step 4: Simplify right side
    52.40x = 1,426.65
  5. Step 5: Solve for x
    x = 1,426.65/52.40
  6. Step 6: Final answer
    x = 27.23

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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.