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Finding the Fourth Proportional to 105.06, 145.69 and 99.60

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Solution

The fourth proportional to 105.06, 145.69 and 99.60 is: 138.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.06 : 145.69 = 99.60 : x
  2. Step 2: Convert to fraction form
    105.06/145.69 = 99.60/x
  3. Step 3: Cross multiply
    105.06x = 145.69 × 99.60
  4. Step 4: Simplify right side
    105.06x = 14,510.72
  5. Step 5: Solve for x
    x = 14,510.72/105.06
  6. Step 6: Final answer
    x = 138.12

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.