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Finding the Fourth Proportional to 52.04, 78.06 and 13.52

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Solution

The fourth proportional to 52.04, 78.06 and 13.52 is: 20.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.04 : 78.06 = 13.52 : x
  2. Step 2: Convert to fraction form
    52.04/78.06 = 13.52/x
  3. Step 3: Cross multiply
    52.04x = 78.06 × 13.52
  4. Step 4: Simplify right side
    52.04x = 1,055.57
  5. Step 5: Solve for x
    x = 1,055.57/52.04
  6. Step 6: Final answer
    x = 20.28

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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.