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Finding the Fourth Proportional to 98.53, 146.72 and 97.45

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Solution

The fourth proportional to 98.53, 146.72 and 97.45 is: 145.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.53 : 146.72 = 97.45 : x
  2. Step 2: Convert to fraction form
    98.53/146.72 = 97.45/x
  3. Step 3: Cross multiply
    98.53x = 146.72 × 97.45
  4. Step 4: Simplify right side
    98.53x = 14,297.86
  5. Step 5: Solve for x
    x = 14,297.86/98.53
  6. Step 6: Final answer
    x = 145.11

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