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Finding the Fourth Proportional to 145.62, 217.35 and 127.44

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Solution

The fourth proportional to 145.62, 217.35 and 127.44 is: 190.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.62 : 217.35 = 127.44 : x
  2. Step 2: Convert to fraction form
    145.62/217.35 = 127.44/x
  3. Step 3: Cross multiply
    145.62x = 217.35 × 127.44
  4. Step 4: Simplify right side
    145.62x = 27,699.08
  5. Step 5: Solve for x
    x = 27,699.08/145.62
  6. Step 6: Final answer
    x = 190.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.