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Finding the Fourth Proportional to 109.63, 164.53 and 60.89

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Solution

The fourth proportional to 109.63, 164.53 and 60.89 is: 91.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.63 : 164.53 = 60.89 : x
  2. Step 2: Convert to fraction form
    109.63/164.53 = 60.89/x
  3. Step 3: Cross multiply
    109.63x = 164.53 × 60.89
  4. Step 4: Simplify right side
    109.63x = 10,018.23
  5. Step 5: Solve for x
    x = 10,018.23/109.63
  6. Step 6: Final answer
    x = 91.38

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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.