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Finding the Fourth Proportional to 52.40, 72.23 and 46.25

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Solution

The fourth proportional to 52.40, 72.23 and 46.25 is: 63.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.40 : 72.23 = 46.25 : x
  2. Step 2: Convert to fraction form
    52.40/72.23 = 46.25/x
  3. Step 3: Cross multiply
    52.40x = 72.23 × 46.25
  4. Step 4: Simplify right side
    52.40x = 3,340.05
  5. Step 5: Solve for x
    x = 3,340.05/52.40
  6. Step 6: Final answer
    x = 63.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.