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Finding the Fourth Proportional to 35.90, 53.85 and 10.22

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Solution

The fourth proportional to 35.90, 53.85 and 10.22 is: 15.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.90 : 53.85 = 10.22 : x
  2. Step 2: Convert to fraction form
    35.90/53.85 = 10.22/x
  3. Step 3: Cross multiply
    35.90x = 53.85 × 10.22
  4. Step 4: Simplify right side
    35.90x = 550.52
  5. Step 5: Solve for x
    x = 550.52/35.90
  6. Step 6: Final answer
    x = 15.34

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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.