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Finding the Fourth Proportional to 99.66, 137.53 and 55.40

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Solution

The fourth proportional to 99.66, 137.53 and 55.40 is: 76.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.66 : 137.53 = 55.40 : x
  2. Step 2: Convert to fraction form
    99.66/137.53 = 55.40/x
  3. Step 3: Cross multiply
    99.66x = 137.53 × 55.40
  4. Step 4: Simplify right side
    99.66x = 7,619.16
  5. Step 5: Solve for x
    x = 7,619.16/99.66
  6. Step 6: Final answer
    x = 76.45

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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.