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Finding the Fourth Proportional to 98.77, 147.07 and 97.68

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Solution

The fourth proportional to 98.77, 147.07 and 97.68 is: 145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.77 : 147.07 = 97.68 : x
  2. Step 2: Convert to fraction form
    98.77/147.07 = 97.68/x
  3. Step 3: Cross multiply
    98.77x = 147.07 × 97.68
  4. Step 4: Simplify right side
    98.77x = 14,365.80
  5. Step 5: Solve for x
    x = 14,365.80/98.77
  6. Step 6: Final answer
    x = 145.45

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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.