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Finding the Fourth Proportional to 157.50, 235.96 and 89.12

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Solution

The fourth proportional to 157.50, 235.96 and 89.12 is: 133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.50 : 235.96 = 89.12 : x
  2. Step 2: Convert to fraction form
    157.50/235.96 = 89.12/x
  3. Step 3: Cross multiply
    157.50x = 235.96 × 89.12
  4. Step 4: Simplify right side
    157.50x = 21,028.76
  5. Step 5: Solve for x
    x = 21,028.76/157.50
  6. Step 6: Final answer
    x = 133.52

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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.