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Finding the Fourth Proportional to 74.68, 102.47 and 72.64

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Solution

The fourth proportional to 74.68, 102.47 and 72.64 is: 99.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.68 : 102.47 = 72.64 : x
  2. Step 2: Convert to fraction form
    74.68/102.47 = 72.64/x
  3. Step 3: Cross multiply
    74.68x = 102.47 × 72.64
  4. Step 4: Simplify right side
    74.68x = 7,443.42
  5. Step 5: Solve for x
    x = 7,443.42/74.68
  6. Step 6: Final answer
    x = 99.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.