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Finding the Fourth Proportional to 101.93, 140.66 and 65.08

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Solution

The fourth proportional to 101.93, 140.66 and 65.08 is: 89.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.93 : 140.66 = 65.08 : x
  2. Step 2: Convert to fraction form
    101.93/140.66 = 65.08/x
  3. Step 3: Cross multiply
    101.93x = 140.66 × 65.08
  4. Step 4: Simplify right side
    101.93x = 9,154.61
  5. Step 5: Solve for x
    x = 9,154.61/101.93
  6. Step 6: Final answer
    x = 89.81

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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.