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Finding the Fourth Proportional to 275.08, 412.57 and 101.83

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Solution

The fourth proportional to 275.08, 412.57 and 101.83 is: 152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.08 : 412.57 = 101.83 : x
  2. Step 2: Convert to fraction form
    275.08/412.57 = 101.83/x
  3. Step 3: Cross multiply
    275.08x = 412.57 × 101.83
  4. Step 4: Simplify right side
    275.08x = 42,011.10
  5. Step 5: Solve for x
    x = 42,011.10/275.08
  6. Step 6: Final answer
    x = 152.72

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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.