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Finding the Fourth Proportional to 157.21, 235.81 and 76.11

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Solution

The fourth proportional to 157.21, 235.81 and 76.11 is: 114.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.21 : 235.81 = 76.11 : x
  2. Step 2: Convert to fraction form
    157.21/235.81 = 76.11/x
  3. Step 3: Cross multiply
    157.21x = 235.81 × 76.11
  4. Step 4: Simplify right side
    157.21x = 17,946.71
  5. Step 5: Solve for x
    x = 17,946.71/157.21
  6. Step 6: Final answer
    x = 114.16

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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.