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Finding the Fourth Proportional to 52.80, 78.75 and 48.24

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Solution

The fourth proportional to 52.80, 78.75 and 48.24 is: 71.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.80 : 78.75 = 48.24 : x
  2. Step 2: Convert to fraction form
    52.80/78.75 = 48.24/x
  3. Step 3: Cross multiply
    52.80x = 78.75 × 48.24
  4. Step 4: Simplify right side
    52.80x = 3,798.90
  5. Step 5: Solve for x
    x = 3,798.90/52.80
  6. Step 6: Final answer
    x = 71.95

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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.