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Finding the Fourth Proportional to 140.13, 210.32 and 76.05

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Solution

The fourth proportional to 140.13, 210.32 and 76.05 is: 114.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.13 : 210.32 = 76.05 : x
  2. Step 2: Convert to fraction form
    140.13/210.32 = 76.05/x
  3. Step 3: Cross multiply
    140.13x = 210.32 × 76.05
  4. Step 4: Simplify right side
    140.13x = 15,994.84
  5. Step 5: Solve for x
    x = 15,994.84/140.13
  6. Step 6: Final answer
    x = 114.14

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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.