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Finding the Fourth Proportional to 105.37, 157.26 and 102.64

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Solution

The fourth proportional to 105.37, 157.26 and 102.64 is: 153.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.37 : 157.26 = 102.64 : x
  2. Step 2: Convert to fraction form
    105.37/157.26 = 102.64/x
  3. Step 3: Cross multiply
    105.37x = 157.26 × 102.64
  4. Step 4: Simplify right side
    105.37x = 16,140.58
  5. Step 5: Solve for x
    x = 16,140.58/105.37
  6. Step 6: Final answer
    x = 153.18

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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.