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Finding the Fourth Proportional to 145.33, 217.71 and 114.76

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Solution

The fourth proportional to 145.33, 217.71 and 114.76 is: 171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.33 : 217.71 = 114.76 : x
  2. Step 2: Convert to fraction form
    145.33/217.71 = 114.76/x
  3. Step 3: Cross multiply
    145.33x = 217.71 × 114.76
  4. Step 4: Simplify right side
    145.33x = 24,984.40
  5. Step 5: Solve for x
    x = 24,984.40/145.33
  6. Step 6: Final answer
    x = 171.91

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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.