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Finding the Fourth Proportional to 76.14, 113.64 and 71.01

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Solution

The fourth proportional to 76.14, 113.64 and 71.01 is: 105.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 113.64 = 71.01 : x
  2. Step 2: Convert to fraction form
    76.14/113.64 = 71.01/x
  3. Step 3: Cross multiply
    76.14x = 113.64 × 71.01
  4. Step 4: Simplify right side
    76.14x = 8,069.31
  5. Step 5: Solve for x
    x = 8,069.31/76.14
  6. Step 6: Final answer
    x = 105.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.