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Finding the Fourth Proportional to 159.03, 219.65 and 110.06

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Solution

The fourth proportional to 159.03, 219.65 and 110.06 is: 152.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    159.03 : 219.65 = 110.06 : x
  2. Step 2: Convert to fraction form
    159.03/219.65 = 110.06/x
  3. Step 3: Cross multiply
    159.03x = 219.65 × 110.06
  4. Step 4: Simplify right side
    159.03x = 24,173.85
  5. Step 5: Solve for x
    x = 24,173.85/159.03
  6. Step 6: Final answer
    x = 152.01

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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.