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Finding the Fourth Proportional to 117.57, 161.95 and 110.01

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Solution

The fourth proportional to 117.57, 161.95 and 110.01 is: 151.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.57 : 161.95 = 110.01 : x
  2. Step 2: Convert to fraction form
    117.57/161.95 = 110.01/x
  3. Step 3: Cross multiply
    117.57x = 161.95 × 110.01
  4. Step 4: Simplify right side
    117.57x = 17,816.12
  5. Step 5: Solve for x
    x = 17,816.12/117.57
  6. Step 6: Final answer
    x = 151.54

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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.