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Finding the Fourth Proportional to 105.45, 157.38 and 102.72

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Solution

The fourth proportional to 105.45, 157.38 and 102.72 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.45 : 157.38 = 102.72 : x
  2. Step 2: Convert to fraction form
    105.45/157.38 = 102.72/x
  3. Step 3: Cross multiply
    105.45x = 157.38 × 102.72
  4. Step 4: Simplify right side
    105.45x = 16,165.23
  5. Step 5: Solve for x
    x = 16,165.23/105.45
  6. Step 6: Final answer
    x = 153.30

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Why These Related Problems?

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