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Finding the Fourth Proportional to 74.54, 102.89 and 51.20

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Solution

The fourth proportional to 74.54, 102.89 and 51.20 is: 70.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.54 : 102.89 = 51.20 : x
  2. Step 2: Convert to fraction form
    74.54/102.89 = 51.20/x
  3. Step 3: Cross multiply
    74.54x = 102.89 × 51.20
  4. Step 4: Simplify right side
    74.54x = 5,267.71
  5. Step 5: Solve for x
    x = 5,267.71/74.54
  6. Step 6: Final answer
    x = 70.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.