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Finding the Fourth Proportional to 35.39, 52.85 and 31.51

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Solution

The fourth proportional to 35.39, 52.85 and 31.51 is: 47.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.39 : 52.85 = 31.51 : x
  2. Step 2: Convert to fraction form
    35.39/52.85 = 31.51/x
  3. Step 3: Cross multiply
    35.39x = 52.85 × 31.51
  4. Step 4: Simplify right side
    35.39x = 1,665.60
  5. Step 5: Solve for x
    x = 1,665.60/35.39
  6. Step 6: Final answer
    x = 47.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.