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Finding the Fourth Proportional to 270.04, 405.01 and 96.70

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Solution

The fourth proportional to 270.04, 405.01 and 96.70 is: 145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.04 : 405.01 = 96.70 : x
  2. Step 2: Convert to fraction form
    270.04/405.01 = 96.70/x
  3. Step 3: Cross multiply
    270.04x = 405.01 × 96.70
  4. Step 4: Simplify right side
    270.04x = 39,164.47
  5. Step 5: Solve for x
    x = 39,164.47/270.04
  6. Step 6: Final answer
    x = 145.03

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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.