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Finding the Fourth Proportional to 147.12, 203.13 and 117.74

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Solution

The fourth proportional to 147.12, 203.13 and 117.74 is: 162.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.12 : 203.13 = 117.74 : x
  2. Step 2: Convert to fraction form
    147.12/203.13 = 117.74/x
  3. Step 3: Cross multiply
    147.12x = 203.13 × 117.74
  4. Step 4: Simplify right side
    147.12x = 23,915.51
  5. Step 5: Solve for x
    x = 23,915.51/147.12
  6. Step 6: Final answer
    x = 162.56

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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.