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Finding the Fourth Proportional to 275.05, 412.53 and 101.80

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Solution

The fourth proportional to 275.05, 412.53 and 101.80 is: 152.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.05 : 412.53 = 101.80 : x
  2. Step 2: Convert to fraction form
    275.05/412.53 = 101.80/x
  3. Step 3: Cross multiply
    275.05x = 412.53 × 101.80
  4. Step 4: Simplify right side
    275.05x = 41,994.52
  5. Step 5: Solve for x
    x = 41,994.52/275.05
  6. Step 6: Final answer
    x = 152.68

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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.