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Finding the Fourth Proportional to 104.90, 156.03 and 101.78

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Solution

The fourth proportional to 104.90, 156.03 and 101.78 is: 151.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.90 : 156.03 = 101.78 : x
  2. Step 2: Convert to fraction form
    104.90/156.03 = 101.78/x
  3. Step 3: Cross multiply
    104.90x = 156.03 × 101.78
  4. Step 4: Simplify right side
    104.90x = 15,880.22
  5. Step 5: Solve for x
    x = 15,880.22/104.90
  6. Step 6: Final answer
    x = 151.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.