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Finding the Fourth Proportional to 77.03, 106.14 and 75.08

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Solution

The fourth proportional to 77.03, 106.14 and 75.08 is: 103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.03 : 106.14 = 75.08 : x
  2. Step 2: Convert to fraction form
    77.03/106.14 = 75.08/x
  3. Step 3: Cross multiply
    77.03x = 106.14 × 75.08
  4. Step 4: Simplify right side
    77.03x = 7,968.31
  5. Step 5: Solve for x
    x = 7,968.31/77.03
  6. Step 6: Final answer
    x = 103.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.