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Finding the Fourth Proportional to 148.93, 205.50 and 93.64

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Solution

The fourth proportional to 148.93, 205.50 and 93.64 is: 129.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.93 : 205.50 = 93.64 : x
  2. Step 2: Convert to fraction form
    148.93/205.50 = 93.64/x
  3. Step 3: Cross multiply
    148.93x = 205.50 × 93.64
  4. Step 4: Simplify right side
    148.93x = 19,243.02
  5. Step 5: Solve for x
    x = 19,243.02/148.93
  6. Step 6: Final answer
    x = 129.21

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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.