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Finding the Fourth Proportional to 105.70, 148.30 and 105.70

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Solution

The fourth proportional to 105.70, 148.30 and 105.70 is: 148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.70 : 148.30 = 105.70 : x
  2. Step 2: Convert to fraction form
    105.70/148.30 = 105.70/x
  3. Step 3: Cross multiply
    105.70x = 148.30 × 105.70
  4. Step 4: Simplify right side
    105.70x = 15,675.31
  5. Step 5: Solve for x
    x = 15,675.31/105.70
  6. Step 6: Final answer
    x = 148.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.