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Finding the Fourth Proportional to 75.99, 105.47 and 73.02

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Solution

The fourth proportional to 75.99, 105.47 and 73.02 is: 101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.99 : 105.47 = 73.02 : x
  2. Step 2: Convert to fraction form
    75.99/105.47 = 73.02/x
  3. Step 3: Cross multiply
    75.99x = 105.47 × 73.02
  4. Step 4: Simplify right side
    75.99x = 7,701.60
  5. Step 5: Solve for x
    x = 7,701.60/75.99
  6. Step 6: Final answer
    x = 101.35

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.