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Finding the Fourth Proportional to 52.06, 78.46 and 49.02

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Solution

The fourth proportional to 52.06, 78.46 and 49.02 is: 73.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.06 : 78.46 = 49.02 : x
  2. Step 2: Convert to fraction form
    52.06/78.46 = 49.02/x
  3. Step 3: Cross multiply
    52.06x = 78.46 × 49.02
  4. Step 4: Simplify right side
    52.06x = 3,846.11
  5. Step 5: Solve for x
    x = 3,846.11/52.06
  6. Step 6: Final answer
    x = 73.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.