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Finding the Fourth Proportional to 71.07, 106.64 and 30.57

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Solution

The fourth proportional to 71.07, 106.64 and 30.57 is: 45.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.07 : 106.64 = 30.57 : x
  2. Step 2: Convert to fraction form
    71.07/106.64 = 30.57/x
  3. Step 3: Cross multiply
    71.07x = 106.64 × 30.57
  4. Step 4: Simplify right side
    71.07x = 3,259.83
  5. Step 5: Solve for x
    x = 3,259.83/71.07
  6. Step 6: Final answer
    x = 45.87

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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.