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Finding the Fourth Proportional to 143.60, 215.52 and 109.40

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Solution

The fourth proportional to 143.60, 215.52 and 109.40 is: 164.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.60 : 215.52 = 109.40 : x
  2. Step 2: Convert to fraction form
    143.60/215.52 = 109.40/x
  3. Step 3: Cross multiply
    143.60x = 215.52 × 109.40
  4. Step 4: Simplify right side
    143.60x = 23,577.89
  5. Step 5: Solve for x
    x = 23,577.89/143.60
  6. Step 6: Final answer
    x = 164.19

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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.