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Finding the Fourth Proportional to 118.01, 162.51 and 110.01

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Solution

The fourth proportional to 118.01, 162.51 and 110.01 is: 151.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.01 : 162.51 = 110.01 : x
  2. Step 2: Convert to fraction form
    118.01/162.51 = 110.01/x
  3. Step 3: Cross multiply
    118.01x = 162.51 × 110.01
  4. Step 4: Simplify right side
    118.01x = 17,877.73
  5. Step 5: Solve for x
    x = 17,877.73/118.01
  6. Step 6: Final answer
    x = 151.50

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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.