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Finding the Fourth Proportional to 275.34, 412.91 and 101.92

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Solution

The fourth proportional to 275.34, 412.91 and 101.92 is: 152.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.34 : 412.91 = 101.92 : x
  2. Step 2: Convert to fraction form
    275.34/412.91 = 101.92/x
  3. Step 3: Cross multiply
    275.34x = 412.91 × 101.92
  4. Step 4: Simplify right side
    275.34x = 42,083.01
  5. Step 5: Solve for x
    x = 42,083.01/275.34
  6. Step 6: Final answer
    x = 152.84

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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.