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Finding the Fourth Proportional to 35.42, 53.08 and 22.59

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Solution

The fourth proportional to 35.42, 53.08 and 22.59 is: 33.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.42 : 53.08 = 22.59 : x
  2. Step 2: Convert to fraction form
    35.42/53.08 = 22.59/x
  3. Step 3: Cross multiply
    35.42x = 53.08 × 22.59
  4. Step 4: Simplify right side
    35.42x = 1,199.16
  5. Step 5: Solve for x
    x = 1,199.16/35.42
  6. Step 6: Final answer
    x = 33.85

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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.