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Finding the Fourth Proportional to 157.29, 216.93 and 120.53

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Solution

The fourth proportional to 157.29, 216.93 and 120.53 is: 166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.29 : 216.93 = 120.53 : x
  2. Step 2: Convert to fraction form
    157.29/216.93 = 120.53/x
  3. Step 3: Cross multiply
    157.29x = 216.93 × 120.53
  4. Step 4: Simplify right side
    157.29x = 26,146.57
  5. Step 5: Solve for x
    x = 26,146.57/157.29
  6. Step 6: Final answer
    x = 166.23

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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.