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Finding the Fourth Proportional to 105.63, 145.61 and 83.46

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Solution

The fourth proportional to 105.63, 145.61 and 83.46 is: 115.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.63 : 145.61 = 83.46 : x
  2. Step 2: Convert to fraction form
    105.63/145.61 = 83.46/x
  3. Step 3: Cross multiply
    105.63x = 145.61 × 83.46
  4. Step 4: Simplify right side
    105.63x = 12,152.51
  5. Step 5: Solve for x
    x = 12,152.51/105.63
  6. Step 6: Final answer
    x = 115.05

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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.