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Finding the Fourth Proportional to 145.66, 217.66 and 106.88

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Solution

The fourth proportional to 145.66, 217.66 and 106.88 is: 159.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.66 : 217.66 = 106.88 : x
  2. Step 2: Convert to fraction form
    145.66/217.66 = 106.88/x
  3. Step 3: Cross multiply
    145.66x = 217.66 × 106.88
  4. Step 4: Simplify right side
    145.66x = 23,263.50
  5. Step 5: Solve for x
    x = 23,263.50/145.66
  6. Step 6: Final answer
    x = 159.71

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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.