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Finding the Fourth Proportional to 74.58, 110.96 and 71.70

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Solution

The fourth proportional to 74.58, 110.96 and 71.70 is: 106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.58 : 110.96 = 71.70 : x
  2. Step 2: Convert to fraction form
    74.58/110.96 = 71.70/x
  3. Step 3: Cross multiply
    74.58x = 110.96 × 71.70
  4. Step 4: Simplify right side
    74.58x = 7,955.47
  5. Step 5: Solve for x
    x = 7,955.47/74.58
  6. Step 6: Final answer
    x = 106.67

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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.