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Finding the Fourth Proportional to 275.42, 413 and 101.96

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Solution

The fourth proportional to 275.42, 413 and 101.96 is: 152.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.42 : 413 = 101.96 : x
  2. Step 2: Convert to fraction form
    275.42/413 = 101.96/x
  3. Step 3: Cross multiply
    275.42x = 413 × 101.96
  4. Step 4: Simplify right side
    275.42x = 42,109.48
  5. Step 5: Solve for x
    x = 42,109.48/275.42
  6. Step 6: Final answer
    x = 152.89

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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.