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Finding the Fourth Proportional to 270.40, 405.72 and 97.12

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Solution

The fourth proportional to 270.40, 405.72 and 97.12 is: 145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.40 : 405.72 = 97.12 : x
  2. Step 2: Convert to fraction form
    270.40/405.72 = 97.12/x
  3. Step 3: Cross multiply
    270.40x = 405.72 × 97.12
  4. Step 4: Simplify right side
    270.40x = 39,403.53
  5. Step 5: Solve for x
    x = 39,403.53/270.40
  6. Step 6: Final answer
    x = 145.72

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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.