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Finding the Fourth Proportional to 78.48, 117.64 and 32.84

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Solution

The fourth proportional to 78.48, 117.64 and 32.84 is: 49.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.48 : 117.64 = 32.84 : x
  2. Step 2: Convert to fraction form
    78.48/117.64 = 32.84/x
  3. Step 3: Cross multiply
    78.48x = 117.64 × 32.84
  4. Step 4: Simplify right side
    78.48x = 3,862.55
  5. Step 5: Solve for x
    x = 3,862.55/78.48
  6. Step 6: Final answer
    x = 49.22

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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.