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Finding the Fourth Proportional to 34.99, 52.35 and 31.66

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Solution

The fourth proportional to 34.99, 52.35 and 31.66 is: 47.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.99 : 52.35 = 31.66 : x
  2. Step 2: Convert to fraction form
    34.99/52.35 = 31.66/x
  3. Step 3: Cross multiply
    34.99x = 52.35 × 31.66
  4. Step 4: Simplify right side
    34.99x = 1,657.40
  5. Step 5: Solve for x
    x = 1,657.40/34.99
  6. Step 6: Final answer
    x = 47.37

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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.