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Finding the Fourth Proportional to 52.03, 71.82 and 34.51

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Solution

The fourth proportional to 52.03, 71.82 and 34.51 is: 47.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.03 : 71.82 = 34.51 : x
  2. Step 2: Convert to fraction form
    52.03/71.82 = 34.51/x
  3. Step 3: Cross multiply
    52.03x = 71.82 × 34.51
  4. Step 4: Simplify right side
    52.03x = 2,478.51
  5. Step 5: Solve for x
    x = 2,478.51/52.03
  6. Step 6: Final answer
    x = 47.64

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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.