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Finding the Fourth Proportional to 157.04, 216.37 and 120.08

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Solution

The fourth proportional to 157.04, 216.37 and 120.08 is: 165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.04 : 216.37 = 120.08 : x
  2. Step 2: Convert to fraction form
    157.04/216.37 = 120.08/x
  3. Step 3: Cross multiply
    157.04x = 216.37 × 120.08
  4. Step 4: Simplify right side
    157.04x = 25,982.40
  5. Step 5: Solve for x
    x = 25,982.40/157.04
  6. Step 6: Final answer
    x = 165.45

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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.