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Finding the Fourth Proportional to 159.51, 219.74 and 110.30

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Solution

The fourth proportional to 159.51, 219.74 and 110.30 is: 151.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.51 : 219.74 = 110.30 : x
  2. Step 2: Convert to fraction form
    159.51/219.74 = 110.30/x
  3. Step 3: Cross multiply
    159.51x = 219.74 × 110.30
  4. Step 4: Simplify right side
    159.51x = 24,237.32
  5. Step 5: Solve for x
    x = 24,237.32/159.51
  6. Step 6: Final answer
    x = 151.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.