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Finding the Fourth Proportional to 101.94, 151.89 and 98.07

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Solution

The fourth proportional to 101.94, 151.89 and 98.07 is: 146.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.94 : 151.89 = 98.07 : x
  2. Step 2: Convert to fraction form
    101.94/151.89 = 98.07/x
  3. Step 3: Cross multiply
    101.94x = 151.89 × 98.07
  4. Step 4: Simplify right side
    101.94x = 14,895.85
  5. Step 5: Solve for x
    x = 14,895.85/101.94
  6. Step 6: Final answer
    x = 146.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.