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Finding the Fourth Proportional to 157.03, 235.59 and 96.20

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Solution

The fourth proportional to 157.03, 235.59 and 96.20 is: 144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.03 : 235.59 = 96.20 : x
  2. Step 2: Convert to fraction form
    157.03/235.59 = 96.20/x
  3. Step 3: Cross multiply
    157.03x = 235.59 × 96.20
  4. Step 4: Simplify right side
    157.03x = 22,663.76
  5. Step 5: Solve for x
    x = 22,663.76/157.03
  6. Step 6: Final answer
    x = 144.33

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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.