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Finding the Fourth Proportional to 157.04, 216.64 and 120.13

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Solution

The fourth proportional to 157.04, 216.64 and 120.13 is: 165.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.04 : 216.64 = 120.13 : x
  2. Step 2: Convert to fraction form
    157.04/216.64 = 120.13/x
  3. Step 3: Cross multiply
    157.04x = 216.64 × 120.13
  4. Step 4: Simplify right side
    157.04x = 26,024.84
  5. Step 5: Solve for x
    x = 26,024.84/157.04
  6. Step 6: Final answer
    x = 165.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.