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Finding the Fourth Proportional to 157.05, 235.61 and 65.78

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Solution

The fourth proportional to 157.05, 235.61 and 65.78 is: 98.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.05 : 235.61 = 65.78 : x
  2. Step 2: Convert to fraction form
    157.05/235.61 = 65.78/x
  3. Step 3: Cross multiply
    157.05x = 235.61 × 65.78
  4. Step 4: Simplify right side
    157.05x = 15,498.43
  5. Step 5: Solve for x
    x = 15,498.43/157.05
  6. Step 6: Final answer
    x = 98.68

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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.