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Finding the Fourth Proportional to 105.55, 145.63 and 66.20

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Solution

The fourth proportional to 105.55, 145.63 and 66.20 is: 91.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.55 : 145.63 = 66.20 : x
  2. Step 2: Convert to fraction form
    105.55/145.63 = 66.20/x
  3. Step 3: Cross multiply
    105.55x = 145.63 × 66.20
  4. Step 4: Simplify right side
    105.55x = 9,640.06
  5. Step 5: Solve for x
    x = 9,640.06/105.55
  6. Step 6: Final answer
    x = 91.33

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Why These Related Problems?

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