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Finding the Fourth Proportional to 100.53, 138.86 and 74.34

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Solution

The fourth proportional to 100.53, 138.86 and 74.34 is: 102.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.53 : 138.86 = 74.34 : x
  2. Step 2: Convert to fraction form
    100.53/138.86 = 74.34/x
  3. Step 3: Cross multiply
    100.53x = 138.86 × 74.34
  4. Step 4: Simplify right side
    100.53x = 10,322.76
  5. Step 5: Solve for x
    x = 10,322.76/100.53
  6. Step 6: Final answer
    x = 102.68

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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.