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Finding the Fourth Proportional to 35.29, 52.94 and 24.67

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Solution

The fourth proportional to 35.29, 52.94 and 24.67 is: 37.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.29 : 52.94 = 24.67 : x
  2. Step 2: Convert to fraction form
    35.29/52.94 = 24.67/x
  3. Step 3: Cross multiply
    35.29x = 52.94 × 24.67
  4. Step 4: Simplify right side
    35.29x = 1,306.03
  5. Step 5: Solve for x
    x = 1,306.03/35.29
  6. Step 6: Final answer
    x = 37.01

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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.