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Finding the Fourth Proportional to 65.70, 90.48 and 50.16

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Solution

The fourth proportional to 65.70, 90.48 and 50.16 is: 69.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.70 : 90.48 = 50.16 : x
  2. Step 2: Convert to fraction form
    65.70/90.48 = 50.16/x
  3. Step 3: Cross multiply
    65.70x = 90.48 × 50.16
  4. Step 4: Simplify right side
    65.70x = 4,538.48
  5. Step 5: Solve for x
    x = 4,538.48/65.70
  6. Step 6: Final answer
    x = 69.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.