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Finding the Fourth Proportional to 46.42, 70.12 and 46.42

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Solution

The fourth proportional to 46.42, 70.12 and 46.42 is: 70.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.42 : 70.12 = 46.42 : x
  2. Step 2: Convert to fraction form
    46.42/70.12 = 46.42/x
  3. Step 3: Cross multiply
    46.42x = 70.12 × 46.42
  4. Step 4: Simplify right side
    46.42x = 3,254.97
  5. Step 5: Solve for x
    x = 3,254.97/46.42
  6. Step 6: Final answer
    x = 70.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.