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Finding the Fourth Proportional to 74.02, 102.09 and 46.40

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Solution

The fourth proportional to 74.02, 102.09 and 46.40 is: 63.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.02 : 102.09 = 46.40 : x
  2. Step 2: Convert to fraction form
    74.02/102.09 = 46.40/x
  3. Step 3: Cross multiply
    74.02x = 102.09 × 46.40
  4. Step 4: Simplify right side
    74.02x = 4,736.23
  5. Step 5: Solve for x
    x = 4,736.23/74.02
  6. Step 6: Final answer
    x = 63.99

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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.