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Finding the Fourth Proportional to 98.16, 146.51 and 93.48

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Solution

The fourth proportional to 98.16, 146.51 and 93.48 is: 139.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.16 : 146.51 = 93.48 : x
  2. Step 2: Convert to fraction form
    98.16/146.51 = 93.48/x
  3. Step 3: Cross multiply
    98.16x = 146.51 × 93.48
  4. Step 4: Simplify right side
    98.16x = 13,695.75
  5. Step 5: Solve for x
    x = 13,695.75/98.16
  6. Step 6: Final answer
    x = 139.52

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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.