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Finding the Fourth Proportional to 98.51, 148.63 and 95.37

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Solution

The fourth proportional to 98.51, 148.63 and 95.37 is: 143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.51 : 148.63 = 95.37 : x
  2. Step 2: Convert to fraction form
    98.51/148.63 = 95.37/x
  3. Step 3: Cross multiply
    98.51x = 148.63 × 95.37
  4. Step 4: Simplify right side
    98.51x = 14,174.05
  5. Step 5: Solve for x
    x = 14,174.05/98.51
  6. Step 6: Final answer
    x = 143.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.