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Finding the Fourth Proportional to 117.84, 162.57 and 76.34

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Solution

The fourth proportional to 117.84, 162.57 and 76.34 is: 105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.84 : 162.57 = 76.34 : x
  2. Step 2: Convert to fraction form
    117.84/162.57 = 76.34/x
  3. Step 3: Cross multiply
    117.84x = 162.57 × 76.34
  4. Step 4: Simplify right side
    117.84x = 12,410.59
  5. Step 5: Solve for x
    x = 12,410.59/117.84
  6. Step 6: Final answer
    x = 105.32

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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.