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Finding the Fourth Proportional to 100.54, 138.63 and 74.35

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Solution

The fourth proportional to 100.54, 138.63 and 74.35 is: 102.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.54 : 138.63 = 74.35 : x
  2. Step 2: Convert to fraction form
    100.54/138.63 = 74.35/x
  3. Step 3: Cross multiply
    100.54x = 138.63 × 74.35
  4. Step 4: Simplify right side
    100.54x = 10,307.14
  5. Step 5: Solve for x
    x = 10,307.14/100.54
  6. Step 6: Final answer
    x = 102.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.