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Finding the Fourth Proportional to 35.46, 48.95 and 23.80

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Solution

The fourth proportional to 35.46, 48.95 and 23.80 is: 32.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.46 : 48.95 = 23.80 : x
  2. Step 2: Convert to fraction form
    35.46/48.95 = 23.80/x
  3. Step 3: Cross multiply
    35.46x = 48.95 × 23.80
  4. Step 4: Simplify right side
    35.46x = 1,165.10
  5. Step 5: Solve for x
    x = 1,165.10/35.46
  6. Step 6: Final answer
    x = 32.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.