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Finding the Fourth Proportional to 117.06, 174.86 and 98.84

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Solution

The fourth proportional to 117.06, 174.86 and 98.84 is: 147.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.06 : 174.86 = 98.84 : x
  2. Step 2: Convert to fraction form
    117.06/174.86 = 98.84/x
  3. Step 3: Cross multiply
    117.06x = 174.86 × 98.84
  4. Step 4: Simplify right side
    117.06x = 17,283.16
  5. Step 5: Solve for x
    x = 17,283.16/117.06
  6. Step 6: Final answer
    x = 147.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.