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Finding the Fourth Proportional to 35.05, 52.13 and 31.99

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Solution

The fourth proportional to 35.05, 52.13 and 31.99 is: 47.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.05 : 52.13 = 31.99 : x
  2. Step 2: Convert to fraction form
    35.05/52.13 = 31.99/x
  3. Step 3: Cross multiply
    35.05x = 52.13 × 31.99
  4. Step 4: Simplify right side
    35.05x = 1,667.64
  5. Step 5: Solve for x
    x = 1,667.64/35.05
  6. Step 6: Final answer
    x = 47.58

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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.