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Finding the Fourth Proportional to 101.93, 140.55 and 97.07

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Solution

The fourth proportional to 101.93, 140.55 and 97.07 is: 133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.93 : 140.55 = 97.07 : x
  2. Step 2: Convert to fraction form
    101.93/140.55 = 97.07/x
  3. Step 3: Cross multiply
    101.93x = 140.55 × 97.07
  4. Step 4: Simplify right side
    101.93x = 13,643.19
  5. Step 5: Solve for x
    x = 13,643.19/101.93
  6. Step 6: Final answer
    x = 133.85

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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.