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Finding the Fourth Proportional to 35.17, 52.51 and 32.14

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Solution

The fourth proportional to 35.17, 52.51 and 32.14 is: 47.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.17 : 52.51 = 32.14 : x
  2. Step 2: Convert to fraction form
    35.17/52.51 = 32.14/x
  3. Step 3: Cross multiply
    35.17x = 52.51 × 32.14
  4. Step 4: Simplify right side
    35.17x = 1,687.67
  5. Step 5: Solve for x
    x = 1,687.67/35.17
  6. Step 6: Final answer
    x = 47.99

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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.