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Finding the Fourth Proportional to 98.91, 148.50 and 70.11

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Solution

The fourth proportional to 98.91, 148.50 and 70.11 is: 105.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.91 : 148.50 = 70.11 : x
  2. Step 2: Convert to fraction form
    98.91/148.50 = 70.11/x
  3. Step 3: Cross multiply
    98.91x = 148.50 × 70.11
  4. Step 4: Simplify right side
    98.91x = 10,411.34
  5. Step 5: Solve for x
    x = 10,411.34/98.91
  6. Step 6: Final answer
    x = 105.26

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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.