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Finding the Fourth Proportional to 105.56, 157.58 and 97.84

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Solution

The fourth proportional to 105.56, 157.58 and 97.84 is: 146.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.56 : 157.58 = 97.84 : x
  2. Step 2: Convert to fraction form
    105.56/157.58 = 97.84/x
  3. Step 3: Cross multiply
    105.56x = 157.58 × 97.84
  4. Step 4: Simplify right side
    105.56x = 15,417.63
  5. Step 5: Solve for x
    x = 15,417.63/105.56
  6. Step 6: Final answer
    x = 146.06

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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.