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Finding the Fourth Proportional to 192.81, 289.35 and 71.08

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Solution

The fourth proportional to 192.81, 289.35 and 71.08 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.81 : 289.35 = 71.08 : x
  2. Step 2: Convert to fraction form
    192.81/289.35 = 71.08/x
  3. Step 3: Cross multiply
    192.81x = 289.35 × 71.08
  4. Step 4: Simplify right side
    192.81x = 20,567.00
  5. Step 5: Solve for x
    x = 20,567.00/192.81
  6. Step 6: Final answer
    x = 106.67

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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.