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Finding the Fourth Proportional to 144.55, 216.72 and 90.28

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Solution

The fourth proportional to 144.55, 216.72 and 90.28 is: 135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.55 : 216.72 = 90.28 : x
  2. Step 2: Convert to fraction form
    144.55/216.72 = 90.28/x
  3. Step 3: Cross multiply
    144.55x = 216.72 × 90.28
  4. Step 4: Simplify right side
    144.55x = 19,564.94
  5. Step 5: Solve for x
    x = 19,564.94/144.55
  6. Step 6: Final answer
    x = 135.35

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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.