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Finding the Fourth Proportional to 65.35, 90.22 and 42.05

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Solution

The fourth proportional to 65.35, 90.22 and 42.05 is: 58.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.35 : 90.22 = 42.05 : x
  2. Step 2: Convert to fraction form
    65.35/90.22 = 42.05/x
  3. Step 3: Cross multiply
    65.35x = 90.22 × 42.05
  4. Step 4: Simplify right side
    65.35x = 3,793.19
  5. Step 5: Solve for x
    x = 3,793.19/65.35
  6. Step 6: Final answer
    x = 58.05

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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.