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Finding the Fourth Proportional to 145.53, 219.17 and 109.71

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Solution

The fourth proportional to 145.53, 219.17 and 109.71 is: 165.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.53 : 219.17 = 109.71 : x
  2. Step 2: Convert to fraction form
    145.53/219.17 = 109.71/x
  3. Step 3: Cross multiply
    145.53x = 219.17 × 109.71
  4. Step 4: Simplify right side
    145.53x = 24,045.41
  5. Step 5: Solve for x
    x = 24,045.41/145.53
  6. Step 6: Final answer
    x = 165.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.