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Finding the Fourth Proportional to 105.12, 145.10 and 66.32

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Solution

The fourth proportional to 105.12, 145.10 and 66.32 is: 91.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 145.10 = 66.32 : x
  2. Step 2: Convert to fraction form
    105.12/145.10 = 66.32/x
  3. Step 3: Cross multiply
    105.12x = 145.10 × 66.32
  4. Step 4: Simplify right side
    105.12x = 9,623.03
  5. Step 5: Solve for x
    x = 9,623.03/105.12
  6. Step 6: Final answer
    x = 91.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.