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Finding the Fourth Proportional to 99.25, 148.70 and 45.07

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Solution

The fourth proportional to 99.25, 148.70 and 45.07 is: 67.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.25 : 148.70 = 45.07 : x
  2. Step 2: Convert to fraction form
    99.25/148.70 = 45.07/x
  3. Step 3: Cross multiply
    99.25x = 148.70 × 45.07
  4. Step 4: Simplify right side
    99.25x = 6,701.65
  5. Step 5: Solve for x
    x = 6,701.65/99.25
  6. Step 6: Final answer
    x = 67.52

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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.