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Finding the Fourth Proportional to 52.49, 78.75 and 32.23

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Solution

The fourth proportional to 52.49, 78.75 and 32.23 is: 48.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.49 : 78.75 = 32.23 : x
  2. Step 2: Convert to fraction form
    52.49/78.75 = 32.23/x
  3. Step 3: Cross multiply
    52.49x = 78.75 × 32.23
  4. Step 4: Simplify right side
    52.49x = 2,537.72
  5. Step 5: Solve for x
    x = 2,537.72/52.49
  6. Step 6: Final answer
    x = 48.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.