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Finding the Fourth Proportional to 52.18, 78.28 and 30.54

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Solution

The fourth proportional to 52.18, 78.28 and 30.54 is: 45.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.18 : 78.28 = 30.54 : x
  2. Step 2: Convert to fraction form
    52.18/78.28 = 30.54/x
  3. Step 3: Cross multiply
    52.18x = 78.28 × 30.54
  4. Step 4: Simplify right side
    52.18x = 2,390.67
  5. Step 5: Solve for x
    x = 2,390.67/52.18
  6. Step 6: Final answer
    x = 45.82

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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.