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Finding the Fourth Proportional to 157.22, 235.70 and 76.10

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Solution

The fourth proportional to 157.22, 235.70 and 76.10 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.22 : 235.70 = 76.10 : x
  2. Step 2: Convert to fraction form
    157.22/235.70 = 76.10/x
  3. Step 3: Cross multiply
    157.22x = 235.70 × 76.10
  4. Step 4: Simplify right side
    157.22x = 17,936.77
  5. Step 5: Solve for x
    x = 17,936.77/157.22
  6. Step 6: Final answer
    x = 114.09

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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.