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Finding the Fourth Proportional to 105.48, 157.68 and 100.80

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Solution

The fourth proportional to 105.48, 157.68 and 100.80 is: 150.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 157.68 = 100.80 : x
  2. Step 2: Convert to fraction form
    105.48/157.68 = 100.80/x
  3. Step 3: Cross multiply
    105.48x = 157.68 × 100.80
  4. Step 4: Simplify right side
    105.48x = 15,894.14
  5. Step 5: Solve for x
    x = 15,894.14/105.48
  6. Step 6: Final answer
    x = 150.68

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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.