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Finding the Fourth Proportional to 35.46, 52.99 and 31.38

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Solution

The fourth proportional to 35.46, 52.99 and 31.38 is: 46.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.46 : 52.99 = 31.38 : x
  2. Step 2: Convert to fraction form
    35.46/52.99 = 31.38/x
  3. Step 3: Cross multiply
    35.46x = 52.99 × 31.38
  4. Step 4: Simplify right side
    35.46x = 1,662.83
  5. Step 5: Solve for x
    x = 1,662.83/35.46
  6. Step 6: Final answer
    x = 46.89

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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.