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Finding the Fourth Proportional to 52.05, 77.61 and 46.23

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Solution

The fourth proportional to 52.05, 77.61 and 46.23 is: 68.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.05 : 77.61 = 46.23 : x
  2. Step 2: Convert to fraction form
    52.05/77.61 = 46.23/x
  3. Step 3: Cross multiply
    52.05x = 77.61 × 46.23
  4. Step 4: Simplify right side
    52.05x = 3,587.91
  5. Step 5: Solve for x
    x = 3,587.91/52.05
  6. Step 6: Final answer
    x = 68.93

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.