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Finding the Fourth Proportional to 116.58, 174.66 and 73.20

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Solution

The fourth proportional to 116.58, 174.66 and 73.20 is: 109.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.58 : 174.66 = 73.20 : x
  2. Step 2: Convert to fraction form
    116.58/174.66 = 73.20/x
  3. Step 3: Cross multiply
    116.58x = 174.66 × 73.20
  4. Step 4: Simplify right side
    116.58x = 12,785.11
  5. Step 5: Solve for x
    x = 12,785.11/116.58
  6. Step 6: Final answer
    x = 109.67

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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.