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Finding the Fourth Proportional to 150.69, 207.82 and 88.53

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Solution

The fourth proportional to 150.69, 207.82 and 88.53 is: 122.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.69 : 207.82 = 88.53 : x
  2. Step 2: Convert to fraction form
    150.69/207.82 = 88.53/x
  3. Step 3: Cross multiply
    150.69x = 207.82 × 88.53
  4. Step 4: Simplify right side
    150.69x = 18,397.14
  5. Step 5: Solve for x
    x = 18,397.14/150.69
  6. Step 6: Final answer
    x = 122.08

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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.