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Finding the Fourth Proportional to 78.09, 117.01 and 32.34

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Solution

The fourth proportional to 78.09, 117.01 and 32.34 is: 48.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.09 : 117.01 = 32.34 : x
  2. Step 2: Convert to fraction form
    78.09/117.01 = 32.34/x
  3. Step 3: Cross multiply
    78.09x = 117.01 × 32.34
  4. Step 4: Simplify right side
    78.09x = 3,784.25
  5. Step 5: Solve for x
    x = 3,784.25/78.09
  6. Step 6: Final answer
    x = 48.46

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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.