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Finding the Fourth Proportional to 74.84, 102.66 and 70.70

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Solution

The fourth proportional to 74.84, 102.66 and 70.70 is: 96.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.84 : 102.66 = 70.70 : x
  2. Step 2: Convert to fraction form
    74.84/102.66 = 70.70/x
  3. Step 3: Cross multiply
    74.84x = 102.66 × 70.70
  4. Step 4: Simplify right side
    74.84x = 7,258.06
  5. Step 5: Solve for x
    x = 7,258.06/74.84
  6. Step 6: Final answer
    x = 96.98

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.