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Finding the Fourth Proportional to 113.69, 156.54 and 90.30

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Solution

The fourth proportional to 113.69, 156.54 and 90.30 is: 124.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.69 : 156.54 = 90.30 : x
  2. Step 2: Convert to fraction form
    113.69/156.54 = 90.30/x
  3. Step 3: Cross multiply
    113.69x = 156.54 × 90.30
  4. Step 4: Simplify right side
    113.69x = 14,135.56
  5. Step 5: Solve for x
    x = 14,135.56/113.69
  6. Step 6: Final answer
    x = 124.33

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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.