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Finding the Fourth Proportional to 74.18, 102.41 and 48.01

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Solution

The fourth proportional to 74.18, 102.41 and 48.01 is: 66.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.18 : 102.41 = 48.01 : x
  2. Step 2: Convert to fraction form
    74.18/102.41 = 48.01/x
  3. Step 3: Cross multiply
    74.18x = 102.41 × 48.01
  4. Step 4: Simplify right side
    74.18x = 4,916.85
  5. Step 5: Solve for x
    x = 4,916.85/74.18
  6. Step 6: Final answer
    x = 66.28

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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.