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Finding the Fourth Proportional to 101.63, 153.12 and 92.01

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Solution

The fourth proportional to 101.63, 153.12 and 92.01 is: 138.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.63 : 153.12 = 92.01 : x
  2. Step 2: Convert to fraction form
    101.63/153.12 = 92.01/x
  3. Step 3: Cross multiply
    101.63x = 153.12 × 92.01
  4. Step 4: Simplify right side
    101.63x = 14,088.57
  5. Step 5: Solve for x
    x = 14,088.57/101.63
  6. Step 6: Final answer
    x = 138.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.