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Finding the Fourth Proportional to 78.05, 117.02 and 37.46

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Solution

The fourth proportional to 78.05, 117.02 and 37.46 is: 56.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.05 : 117.02 = 37.46 : x
  2. Step 2: Convert to fraction form
    78.05/117.02 = 37.46/x
  3. Step 3: Cross multiply
    78.05x = 117.02 × 37.46
  4. Step 4: Simplify right side
    78.05x = 4,383.66
  5. Step 5: Solve for x
    x = 4,383.66/78.05
  6. Step 6: Final answer
    x = 56.17

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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.