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Finding the Fourth Proportional to 35.17, 52.61 and 31.42

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Solution

The fourth proportional to 35.17, 52.61 and 31.42 is: 47.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.17 : 52.61 = 31.42 : x
  2. Step 2: Convert to fraction form
    35.17/52.61 = 31.42/x
  3. Step 3: Cross multiply
    35.17x = 52.61 × 31.42
  4. Step 4: Simplify right side
    35.17x = 1,653.01
  5. Step 5: Solve for x
    x = 1,653.01/35.17
  6. Step 6: Final answer
    x = 47.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.