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Finding the Fourth Proportional to 73.20, 101 and 42.10

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Solution

The fourth proportional to 73.20, 101 and 42.10 is: 58.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.20 : 101 = 42.10 : x
  2. Step 2: Convert to fraction form
    73.20/101 = 42.10/x
  3. Step 3: Cross multiply
    73.20x = 101 × 42.10
  4. Step 4: Simplify right side
    73.20x = 4,252.10
  5. Step 5: Solve for x
    x = 4,252.10/73.20
  6. Step 6: Final answer
    x = 58.09

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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.