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Finding the Fourth Proportional to 174.66, 241.03 and 101.02

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Solution

The fourth proportional to 174.66, 241.03 and 101.02 is: 139.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 241.03 = 101.02 : x
  2. Step 2: Convert to fraction form
    174.66/241.03 = 101.02/x
  3. Step 3: Cross multiply
    174.66x = 241.03 × 101.02
  4. Step 4: Simplify right side
    174.66x = 24,347.41
  5. Step 5: Solve for x
    x = 24,347.41/174.66
  6. Step 6: Final answer
    x = 139.40

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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.