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Finding the Fourth Proportional to 45.70, 61.40 and 45.70

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Solution

The fourth proportional to 45.70, 61.40 and 45.70 is: 61.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    45.70 : 61.40 = 45.70 : x
  2. Step 2: Convert to fraction form
    45.70/61.40 = 45.70/x
  3. Step 3: Cross multiply
    45.70x = 61.40 × 45.70
  4. Step 4: Simplify right side
    45.70x = 2,805.98
  5. Step 5: Solve for x
    x = 2,805.98/45.70
  6. Step 6: Final answer
    x = 61.40

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.