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Finding the Fourth Proportional to 147.93, 203.50 and 120.24

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Solution

The fourth proportional to 147.93, 203.50 and 120.24 is: 165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.93 : 203.50 = 120.24 : x
  2. Step 2: Convert to fraction form
    147.93/203.50 = 120.24/x
  3. Step 3: Cross multiply
    147.93x = 203.50 × 120.24
  4. Step 4: Simplify right side
    147.93x = 24,468.31
  5. Step 5: Solve for x
    x = 24,468.31/147.93
  6. Step 6: Final answer
    x = 165.40

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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.