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Finding the Fourth Proportional to 90.69, 124.07 and 90.31

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Solution

The fourth proportional to 90.69, 124.07 and 90.31 is: 123.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.69 : 124.07 = 90.31 : x
  2. Step 2: Convert to fraction form
    90.69/124.07 = 90.31/x
  3. Step 3: Cross multiply
    90.69x = 124.07 × 90.31
  4. Step 4: Simplify right side
    90.69x = 11,204.14
  5. Step 5: Solve for x
    x = 11,204.14/90.69
  6. Step 6: Final answer
    x = 123.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.