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Finding the Fourth Proportional to 52.45, 72.36 and 42.11

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Solution

The fourth proportional to 52.45, 72.36 and 42.11 is: 58.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.45 : 72.36 = 42.11 : x
  2. Step 2: Convert to fraction form
    52.45/72.36 = 42.11/x
  3. Step 3: Cross multiply
    52.45x = 72.36 × 42.11
  4. Step 4: Simplify right side
    52.45x = 3,046.72
  5. Step 5: Solve for x
    x = 3,046.72/52.45
  6. Step 6: Final answer
    x = 58.08

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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.