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Finding the Fourth Proportional to 117.64, 177.07 and 100.02

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Solution

The fourth proportional to 117.64, 177.07 and 100.02 is: 150.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.64 : 177.07 = 100.02 : x
  2. Step 2: Convert to fraction form
    117.64/177.07 = 100.02/x
  3. Step 3: Cross multiply
    117.64x = 177.07 × 100.02
  4. Step 4: Simplify right side
    117.64x = 17,710.54
  5. Step 5: Solve for x
    x = 17,710.54/117.64
  6. Step 6: Final answer
    x = 150.55

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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.