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Finding the Fourth Proportional to 52.35, 72.14 and 34.85

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Solution

The fourth proportional to 52.35, 72.14 and 34.85 is: 48.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.35 : 72.14 = 34.85 : x
  2. Step 2: Convert to fraction form
    52.35/72.14 = 34.85/x
  3. Step 3: Cross multiply
    52.35x = 72.14 × 34.85
  4. Step 4: Simplify right side
    52.35x = 2,513.54
  5. Step 5: Solve for x
    x = 2,513.54/52.35
  6. Step 6: Final answer
    x = 48.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.