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Finding the Fourth Proportional to 71.00, 106.47 and 27.64

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Solution

The fourth proportional to 71.00, 106.47 and 27.64 is: 41.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.00 : 106.47 = 27.64 : x
  2. Step 2: Convert to fraction form
    71.00/106.47 = 27.64/x
  3. Step 3: Cross multiply
    71.00x = 106.47 × 27.64
  4. Step 4: Simplify right side
    71.00x = 2,942.76
  5. Step 5: Solve for x
    x = 2,942.76/71.00
  6. Step 6: Final answer
    x = 41.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.