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Finding the Fourth Proportional to 73.68, 101.64 and 44.55

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Solution

The fourth proportional to 73.68, 101.64 and 44.55 is: 61.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.68 : 101.64 = 44.55 : x
  2. Step 2: Convert to fraction form
    73.68/101.64 = 44.55/x
  3. Step 3: Cross multiply
    73.68x = 101.64 × 44.55
  4. Step 4: Simplify right side
    73.68x = 4,528.06
  5. Step 5: Solve for x
    x = 4,528.06/73.68
  6. Step 6: Final answer
    x = 61.46

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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.