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Finding the Fourth Proportional to 52.08, 78.14 and 30.40

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Solution

The fourth proportional to 52.08, 78.14 and 30.40 is: 45.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.08 : 78.14 = 30.40 : x
  2. Step 2: Convert to fraction form
    52.08/78.14 = 30.40/x
  3. Step 3: Cross multiply
    52.08x = 78.14 × 30.40
  4. Step 4: Simplify right side
    52.08x = 2,375.46
  5. Step 5: Solve for x
    x = 2,375.46/52.08
  6. Step 6: Final answer
    x = 45.61

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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.