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Finding the Fourth Proportional to 97.37, 146.06 and 46.00

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Solution

The fourth proportional to 97.37, 146.06 and 46.00 is: 69.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.37 : 146.06 = 46.00 : x
  2. Step 2: Convert to fraction form
    97.37/146.06 = 46.00/x
  3. Step 3: Cross multiply
    97.37x = 146.06 × 46.00
  4. Step 4: Simplify right side
    97.37x = 6,718.28
  5. Step 5: Solve for x
    x = 6,718.28/97.37
  6. Step 6: Final answer
    x = 69.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.