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Finding the Fourth Proportional to 145.41, 217.02 and 128.13

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Solution

The fourth proportional to 145.41, 217.02 and 128.13 is: 191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.41 : 217.02 = 128.13 : x
  2. Step 2: Convert to fraction form
    145.41/217.02 = 128.13/x
  3. Step 3: Cross multiply
    145.41x = 217.02 × 128.13
  4. Step 4: Simplify right side
    145.41x = 27,806.77
  5. Step 5: Solve for x
    x = 27,806.77/145.41
  6. Step 6: Final answer
    x = 191.23

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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.