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Finding the Fourth Proportional to 147.41, 203.15 and 110.55

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Solution

The fourth proportional to 147.41, 203.15 and 110.55 is: 152.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.41 : 203.15 = 110.55 : x
  2. Step 2: Convert to fraction form
    147.41/203.15 = 110.55/x
  3. Step 3: Cross multiply
    147.41x = 203.15 × 110.55
  4. Step 4: Simplify right side
    147.41x = 22,457.68
  5. Step 5: Solve for x
    x = 22,457.68/147.41
  6. Step 6: Final answer
    x = 152.35

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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.