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Finding the Fourth Proportional to 140.53, 193.98 and 111.55

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Solution

The fourth proportional to 140.53, 193.98 and 111.55 is: 153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    140.53 : 193.98 = 111.55 : x
  2. Step 2: Convert to fraction form
    140.53/193.98 = 111.55/x
  3. Step 3: Cross multiply
    140.53x = 193.98 × 111.55
  4. Step 4: Simplify right side
    140.53x = 21,638.47
  5. Step 5: Solve for x
    x = 21,638.47/140.53
  6. Step 6: Final answer
    x = 153.98

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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.