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Finding the Fourth Proportional to 148.03, 222.08 and 61.38

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Solution

The fourth proportional to 148.03, 222.08 and 61.38 is: 92.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.03 : 222.08 = 61.38 : x
  2. Step 2: Convert to fraction form
    148.03/222.08 = 61.38/x
  3. Step 3: Cross multiply
    148.03x = 222.08 × 61.38
  4. Step 4: Simplify right side
    148.03x = 13,631.27
  5. Step 5: Solve for x
    x = 13,631.27/148.03
  6. Step 6: Final answer
    x = 92.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.