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Finding the Fourth Proportional to 157.01, 216.54 and 101.72

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Solution

The fourth proportional to 157.01, 216.54 and 101.72 is: 140.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.01 : 216.54 = 101.72 : x
  2. Step 2: Convert to fraction form
    157.01/216.54 = 101.72/x
  3. Step 3: Cross multiply
    157.01x = 216.54 × 101.72
  4. Step 4: Simplify right side
    157.01x = 22,026.99
  5. Step 5: Solve for x
    x = 22,026.99/157.01
  6. Step 6: Final answer
    x = 140.29

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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.