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Finding the Fourth Proportional to 75.02, 103.47 and 54.37

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Solution

The fourth proportional to 75.02, 103.47 and 54.37 is: 74.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.02 : 103.47 = 54.37 : x
  2. Step 2: Convert to fraction form
    75.02/103.47 = 54.37/x
  3. Step 3: Cross multiply
    75.02x = 103.47 × 54.37
  4. Step 4: Simplify right side
    75.02x = 5,625.66
  5. Step 5: Solve for x
    x = 5,625.66/75.02
  6. Step 6: Final answer
    x = 74.99

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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.