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Finding the Fourth Proportional to 78.29, 116.58 and 73.63

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Solution

The fourth proportional to 78.29, 116.58 and 73.63 is: 109.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.29 : 116.58 = 73.63 : x
  2. Step 2: Convert to fraction form
    78.29/116.58 = 73.63/x
  3. Step 3: Cross multiply
    78.29x = 116.58 × 73.63
  4. Step 4: Simplify right side
    78.29x = 8,583.20
  5. Step 5: Solve for x
    x = 8,583.20/78.29
  6. Step 6: Final answer
    x = 109.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.