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Finding the Fourth Proportional to 105.07, 157.42 and 47.20

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Solution

The fourth proportional to 105.07, 157.42 and 47.20 is: 70.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.07 : 157.42 = 47.20 : x
  2. Step 2: Convert to fraction form
    105.07/157.42 = 47.20/x
  3. Step 3: Cross multiply
    105.07x = 157.42 × 47.20
  4. Step 4: Simplify right side
    105.07x = 7,430.22
  5. Step 5: Solve for x
    x = 7,430.22/105.07
  6. Step 6: Final answer
    x = 70.72

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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.