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Finding the Fourth Proportional to 157.07, 216.77 and 87.13

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Solution

The fourth proportional to 157.07, 216.77 and 87.13 is: 120.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.07 : 216.77 = 87.13 : x
  2. Step 2: Convert to fraction form
    157.07/216.77 = 87.13/x
  3. Step 3: Cross multiply
    157.07x = 216.77 × 87.13
  4. Step 4: Simplify right side
    157.07x = 18,887.01
  5. Step 5: Solve for x
    x = 18,887.01/157.07
  6. Step 6: Final answer
    x = 120.24

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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.