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Finding the Fourth Proportional to 52.14, 78.57 and 49.65

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Solution

The fourth proportional to 52.14, 78.57 and 49.65 is: 74.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.14 : 78.57 = 49.65 : x
  2. Step 2: Convert to fraction form
    52.14/78.57 = 49.65/x
  3. Step 3: Cross multiply
    52.14x = 78.57 × 49.65
  4. Step 4: Simplify right side
    52.14x = 3,901.00
  5. Step 5: Solve for x
    x = 3,901.00/52.14
  6. Step 6: Final answer
    x = 74.82

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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.