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Finding the Fourth Proportional to 42.34, 63.40 and 35.84

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Solution

The fourth proportional to 42.34, 63.40 and 35.84 is: 53.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.34 : 63.40 = 35.84 : x
  2. Step 2: Convert to fraction form
    42.34/63.40 = 35.84/x
  3. Step 3: Cross multiply
    42.34x = 63.40 × 35.84
  4. Step 4: Simplify right side
    42.34x = 2,272.39
  5. Step 5: Solve for x
    x = 2,272.39/42.34
  6. Step 6: Final answer
    x = 53.67

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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.