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Finding the Fourth Proportional to 70.32, 105.35 and 36.10

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Solution

The fourth proportional to 70.32, 105.35 and 36.10 is: 54.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.32 : 105.35 = 36.10 : x
  2. Step 2: Convert to fraction form
    70.32/105.35 = 36.10/x
  3. Step 3: Cross multiply
    70.32x = 105.35 × 36.10
  4. Step 4: Simplify right side
    70.32x = 3,802.70
  5. Step 5: Solve for x
    x = 3,802.70/70.32
  6. Step 6: Final answer
    x = 54.08

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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.