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Finding the Fourth Proportional to 52.23, 78.32 and 29.42

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Solution

The fourth proportional to 52.23, 78.32 and 29.42 is: 44.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.23 : 78.32 = 29.42 : x
  2. Step 2: Convert to fraction form
    52.23/78.32 = 29.42/x
  3. Step 3: Cross multiply
    52.23x = 78.32 × 29.42
  4. Step 4: Simplify right side
    52.23x = 2,303.78
  5. Step 5: Solve for x
    x = 2,303.78/52.23
  6. Step 6: Final answer
    x = 44.11

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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.