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Finding the Fourth Proportional to 73.69, 101.60 and 54.01

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Solution

The fourth proportional to 73.69, 101.60 and 54.01 is: 74.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.69 : 101.60 = 54.01 : x
  2. Step 2: Convert to fraction form
    73.69/101.60 = 54.01/x
  3. Step 3: Cross multiply
    73.69x = 101.60 × 54.01
  4. Step 4: Simplify right side
    73.69x = 5,486.90
  5. Step 5: Solve for x
    x = 5,486.90/73.69
  6. Step 6: Final answer
    x = 74.46

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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.