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Finding the Fourth Proportional to 100.99, 151.51 and 70.75

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Solution

The fourth proportional to 100.99, 151.51 and 70.75 is: 106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.99 : 151.51 = 70.75 : x
  2. Step 2: Convert to fraction form
    100.99/151.51 = 70.75/x
  3. Step 3: Cross multiply
    100.99x = 151.51 × 70.75
  4. Step 4: Simplify right side
    100.99x = 10,719.33
  5. Step 5: Solve for x
    x = 10,719.33/100.99
  6. Step 6: Final answer
    x = 106.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.