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Finding the Fourth Proportional to 105.70, 157.52 and 105.16

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Solution

The fourth proportional to 105.70, 157.52 and 105.16 is: 156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.70 : 157.52 = 105.16 : x
  2. Step 2: Convert to fraction form
    105.70/157.52 = 105.16/x
  3. Step 3: Cross multiply
    105.70x = 157.52 × 105.16
  4. Step 4: Simplify right side
    105.70x = 16,564.80
  5. Step 5: Solve for x
    x = 16,564.80/105.70
  6. Step 6: Final answer
    x = 156.72

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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.