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Finding the Fourth Proportional to 144.18, 215.89 and 100.90

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Solution

The fourth proportional to 144.18, 215.89 and 100.90 is: 151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.18 : 215.89 = 100.90 : x
  2. Step 2: Convert to fraction form
    144.18/215.89 = 100.90/x
  3. Step 3: Cross multiply
    144.18x = 215.89 × 100.90
  4. Step 4: Simplify right side
    144.18x = 21,782.51
  5. Step 5: Solve for x
    x = 21,782.51/144.18
  6. Step 6: Final answer
    x = 151.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.