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Finding the Fourth Proportional to 78.60, 108.72 and 74.58

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Solution

The fourth proportional to 78.60, 108.72 and 74.58 is: 103.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.60 : 108.72 = 74.58 : x
  2. Step 2: Convert to fraction form
    78.60/108.72 = 74.58/x
  3. Step 3: Cross multiply
    78.60x = 108.72 × 74.58
  4. Step 4: Simplify right side
    78.60x = 8,108.34
  5. Step 5: Solve for x
    x = 8,108.34/78.60
  6. Step 6: Final answer
    x = 103.16

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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.