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Finding the Fourth Proportional to 118.02, 162.38 and 90.23

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Solution

The fourth proportional to 118.02, 162.38 and 90.23 is: 124.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.02 : 162.38 = 90.23 : x
  2. Step 2: Convert to fraction form
    118.02/162.38 = 90.23/x
  3. Step 3: Cross multiply
    118.02x = 162.38 × 90.23
  4. Step 4: Simplify right side
    118.02x = 14,650.28
  5. Step 5: Solve for x
    x = 14,650.28/118.02
  6. Step 6: Final answer
    x = 124.13

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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.