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Finding the Fourth Proportional to 157.10, 216.74 and 101.02

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Solution

The fourth proportional to 157.10, 216.74 and 101.02 is: 139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.10 : 216.74 = 101.02 : x
  2. Step 2: Convert to fraction form
    157.10/216.74 = 101.02/x
  3. Step 3: Cross multiply
    157.10x = 216.74 × 101.02
  4. Step 4: Simplify right side
    157.10x = 21,895.07
  5. Step 5: Solve for x
    x = 21,895.07/157.10
  6. Step 6: Final answer
    x = 139.37

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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.