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Finding the Fourth Proportional to 52.42, 72.30 and 34.02

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Solution

The fourth proportional to 52.42, 72.30 and 34.02 is: 46.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.42 : 72.30 = 34.02 : x
  2. Step 2: Convert to fraction form
    52.42/72.30 = 34.02/x
  3. Step 3: Cross multiply
    52.42x = 72.30 × 34.02
  4. Step 4: Simplify right side
    52.42x = 2,459.65
  5. Step 5: Solve for x
    x = 2,459.65/52.42
  6. Step 6: Final answer
    x = 46.92

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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.