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Finding the Fourth Proportional to 99.70, 148.73 and 98.02

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Solution

The fourth proportional to 99.70, 148.73 and 98.02 is: 146.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.70 : 148.73 = 98.02 : x
  2. Step 2: Convert to fraction form
    99.70/148.73 = 98.02/x
  3. Step 3: Cross multiply
    99.70x = 148.73 × 98.02
  4. Step 4: Simplify right side
    99.70x = 14,578.51
  5. Step 5: Solve for x
    x = 14,578.51/99.70
  6. Step 6: Final answer
    x = 146.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.