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Finding the Fourth Proportional to 70.51, 105.68 and 46.13

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Solution

The fourth proportional to 70.51, 105.68 and 46.13 is: 69.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.51 : 105.68 = 46.13 : x
  2. Step 2: Convert to fraction form
    70.51/105.68 = 46.13/x
  3. Step 3: Cross multiply
    70.51x = 105.68 × 46.13
  4. Step 4: Simplify right side
    70.51x = 4,875.02
  5. Step 5: Solve for x
    x = 4,875.02/70.51
  6. Step 6: Final answer
    x = 69.14

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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.