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Finding the Fourth Proportional to 7.45, 10.07 and 7.45

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Solution

The fourth proportional to 7.45, 10.07 and 7.45 is: 10.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.45 : 10.07 = 7.45 : x
  2. Step 2: Convert to fraction form
    7.45/10.07 = 7.45/x
  3. Step 3: Cross multiply
    7.45x = 10.07 × 7.45
  4. Step 4: Simplify right side
    7.45x = 75.02
  5. Step 5: Solve for x
    x = 75.02/7.45
  6. Step 6: Final answer
    x = 10.07

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.