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Finding the Fourth Proportional to 113.66, 156.53 and 98.11

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Solution

The fourth proportional to 113.66, 156.53 and 98.11 is: 135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.66 : 156.53 = 98.11 : x
  2. Step 2: Convert to fraction form
    113.66/156.53 = 98.11/x
  3. Step 3: Cross multiply
    113.66x = 156.53 × 98.11
  4. Step 4: Simplify right side
    113.66x = 15,357.60
  5. Step 5: Solve for x
    x = 15,357.60/113.66
  6. Step 6: Final answer
    x = 135.12

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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.