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Finding the Fourth Proportional to 101.94, 140.70 and 65.08

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Solution

The fourth proportional to 101.94, 140.70 and 65.08 is: 89.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.94 : 140.70 = 65.08 : x
  2. Step 2: Convert to fraction form
    101.94/140.70 = 65.08/x
  3. Step 3: Cross multiply
    101.94x = 140.70 × 65.08
  4. Step 4: Simplify right side
    101.94x = 9,156.76
  5. Step 5: Solve for x
    x = 9,156.76/101.94
  6. Step 6: Final answer
    x = 89.82

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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.