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Finding the Fourth Proportional to 73.60, 110.52 and 70.35

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Solution

The fourth proportional to 73.60, 110.52 and 70.35 is: 105.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.60 : 110.52 = 70.35 : x
  2. Step 2: Convert to fraction form
    73.60/110.52 = 70.35/x
  3. Step 3: Cross multiply
    73.60x = 110.52 × 70.35
  4. Step 4: Simplify right side
    73.60x = 7,774.73
  5. Step 5: Solve for x
    x = 7,774.73/73.60
  6. Step 6: Final answer
    x = 105.64

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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.