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Finding the Fourth Proportional to 117.84, 177.10 and 98.70

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Solution

The fourth proportional to 117.84, 177.10 and 98.70 is: 148.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 177.10 = 98.70 : x
  2. Step 2: Convert to fraction form
    117.84/177.10 = 98.70/x
  3. Step 3: Cross multiply
    117.84x = 177.10 × 98.70
  4. Step 4: Simplify right side
    117.84x = 17,479.77
  5. Step 5: Solve for x
    x = 17,479.77/117.84
  6. Step 6: Final answer
    x = 148.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.