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Finding the Fourth Proportional to 98.51, 148.04 and 96.08

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Solution

The fourth proportional to 98.51, 148.04 and 96.08 is: 144.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.51 : 148.04 = 96.08 : x
  2. Step 2: Convert to fraction form
    98.51/148.04 = 96.08/x
  3. Step 3: Cross multiply
    98.51x = 148.04 × 96.08
  4. Step 4: Simplify right side
    98.51x = 14,223.20
  5. Step 5: Solve for x
    x = 14,223.20/98.51
  6. Step 6: Final answer
    x = 144.38

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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.