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Finding the Fourth Proportional to 52.44, 78.54 and 31.08

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Solution

The fourth proportional to 52.44, 78.54 and 31.08 is: 46.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.44 : 78.54 = 31.08 : x
  2. Step 2: Convert to fraction form
    52.44/78.54 = 31.08/x
  3. Step 3: Cross multiply
    52.44x = 78.54 × 31.08
  4. Step 4: Simplify right side
    52.44x = 2,441.02
  5. Step 5: Solve for x
    x = 2,441.02/52.44
  6. Step 6: Final answer
    x = 46.55

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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.