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Finding the Fourth Proportional to 101.51, 140.21 and 84.10

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Solution

The fourth proportional to 101.51, 140.21 and 84.10 is: 116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.51 : 140.21 = 84.10 : x
  2. Step 2: Convert to fraction form
    101.51/140.21 = 84.10/x
  3. Step 3: Cross multiply
    101.51x = 140.21 × 84.10
  4. Step 4: Simplify right side
    101.51x = 11,790.96
  5. Step 5: Solve for x
    x = 11,790.96/101.51
  6. Step 6: Final answer
    x = 116.16

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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.