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Finding the Fourth Proportional to 100.65, 151.02 and 70.23

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Solution

The fourth proportional to 100.65, 151.02 and 70.23 is: 105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.65 : 151.02 = 70.23 : x
  2. Step 2: Convert to fraction form
    100.65/151.02 = 70.23/x
  3. Step 3: Cross multiply
    100.65x = 151.02 × 70.23
  4. Step 4: Simplify right side
    100.65x = 10,606.13
  5. Step 5: Solve for x
    x = 10,606.13/100.65
  6. Step 6: Final answer
    x = 105.38

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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.