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Finding the Fourth Proportional to 52.24, 77.95 and 46.09

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Solution

The fourth proportional to 52.24, 77.95 and 46.09 is: 68.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.24 : 77.95 = 46.09 : x
  2. Step 2: Convert to fraction form
    52.24/77.95 = 46.09/x
  3. Step 3: Cross multiply
    52.24x = 77.95 × 46.09
  4. Step 4: Simplify right side
    52.24x = 3,592.72
  5. Step 5: Solve for x
    x = 3,592.72/52.24
  6. Step 6: Final answer
    x = 68.77

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