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Finding the Fourth Proportional to 75.53, 103.42 and 75.30

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Solution

The fourth proportional to 75.53, 103.42 and 75.30 is: 103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 103.42 = 75.30 : x
  2. Step 2: Convert to fraction form
    75.53/103.42 = 75.30/x
  3. Step 3: Cross multiply
    75.53x = 103.42 × 75.30
  4. Step 4: Simplify right side
    75.53x = 7,787.62
  5. Step 5: Solve for x
    x = 7,787.62/75.53
  6. Step 6: Final answer
    x = 103.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.