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Finding the Fourth Proportional to 74.19, 102.38 and 46.57

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Solution

The fourth proportional to 74.19, 102.38 and 46.57 is: 64.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.19 : 102.38 = 46.57 : x
  2. Step 2: Convert to fraction form
    74.19/102.38 = 46.57/x
  3. Step 3: Cross multiply
    74.19x = 102.38 × 46.57
  4. Step 4: Simplify right side
    74.19x = 4,767.84
  5. Step 5: Solve for x
    x = 4,767.84/74.19
  6. Step 6: Final answer
    x = 64.27

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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.