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Finding the Fourth Proportional to 102.01, 140.74 and 90.99

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Solution

The fourth proportional to 102.01, 140.74 and 90.99 is: 125.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.01 : 140.74 = 90.99 : x
  2. Step 2: Convert to fraction form
    102.01/140.74 = 90.99/x
  3. Step 3: Cross multiply
    102.01x = 140.74 × 90.99
  4. Step 4: Simplify right side
    102.01x = 12,805.93
  5. Step 5: Solve for x
    x = 12,805.93/102.01
  6. Step 6: Final answer
    x = 125.54

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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.