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Finding the Fourth Proportional to 157.64, 236.48 and 72.14

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Solution

The fourth proportional to 157.64, 236.48 and 72.14 is: 108.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.64 : 236.48 = 72.14 : x
  2. Step 2: Convert to fraction form
    157.64/236.48 = 72.14/x
  3. Step 3: Cross multiply
    157.64x = 236.48 × 72.14
  4. Step 4: Simplify right side
    157.64x = 17,059.67
  5. Step 5: Solve for x
    x = 17,059.67/157.64
  6. Step 6: Final answer
    x = 108.22

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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.