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Finding the Fourth Proportional to 52.04, 78.02 and 23.48

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Solution

The fourth proportional to 52.04, 78.02 and 23.48 is: 35.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.04 : 78.02 = 23.48 : x
  2. Step 2: Convert to fraction form
    52.04/78.02 = 23.48/x
  3. Step 3: Cross multiply
    52.04x = 78.02 × 23.48
  4. Step 4: Simplify right side
    52.04x = 1,831.91
  5. Step 5: Solve for x
    x = 1,831.91/52.04
  6. Step 6: Final answer
    x = 35.20

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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.