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Finding the Fourth Proportional to 52.05, 78.05 and 45.13

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Solution

The fourth proportional to 52.05, 78.05 and 45.13 is: 67.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 78.05 = 45.13 : x
  2. Step 2: Convert to fraction form
    52.05/78.05 = 45.13/x
  3. Step 3: Cross multiply
    52.05x = 78.05 × 45.13
  4. Step 4: Simplify right side
    52.05x = 3,521.78
  5. Step 5: Solve for x
    x = 3,521.78/52.05
  6. Step 6: Final answer
    x = 67.66

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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.