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Finding the Fourth Proportional to 105.34, 157.80 and 50.40

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Solution

The fourth proportional to 105.34, 157.80 and 50.40 is: 75.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.34 : 157.80 = 50.40 : x
  2. Step 2: Convert to fraction form
    105.34/157.80 = 50.40/x
  3. Step 3: Cross multiply
    105.34x = 157.80 × 50.40
  4. Step 4: Simplify right side
    105.34x = 7,953.12
  5. Step 5: Solve for x
    x = 7,953.12/105.34
  6. Step 6: Final answer
    x = 75.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.