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Finding the Fourth Proportional to 140.64, 210.69 and 110.07

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Solution

The fourth proportional to 140.64, 210.69 and 110.07 is: 164.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.64 : 210.69 = 110.07 : x
  2. Step 2: Convert to fraction form
    140.64/210.69 = 110.07/x
  3. Step 3: Cross multiply
    140.64x = 210.69 × 110.07
  4. Step 4: Simplify right side
    140.64x = 23,190.65
  5. Step 5: Solve for x
    x = 23,190.65/140.64
  6. Step 6: Final answer
    x = 164.89

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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.