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Finding the Fourth Proportional to 74.06, 102.17 and 46.03

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Solution

The fourth proportional to 74.06, 102.17 and 46.03 is: 63.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.06 : 102.17 = 46.03 : x
  2. Step 2: Convert to fraction form
    74.06/102.17 = 46.03/x
  3. Step 3: Cross multiply
    74.06x = 102.17 × 46.03
  4. Step 4: Simplify right side
    74.06x = 4,702.74
  5. Step 5: Solve for x
    x = 4,702.74/74.06
  6. Step 6: Final answer
    x = 63.50

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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.