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Finding the Fourth Proportional to 35.50, 48.99 and 22.59

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Solution

The fourth proportional to 35.50, 48.99 and 22.59 is: 31.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.50 : 48.99 = 22.59 : x
  2. Step 2: Convert to fraction form
    35.50/48.99 = 22.59/x
  3. Step 3: Cross multiply
    35.50x = 48.99 × 22.59
  4. Step 4: Simplify right side
    35.50x = 1,106.68
  5. Step 5: Solve for x
    x = 1,106.68/35.50
  6. Step 6: Final answer
    x = 31.17

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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.