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Finding the Fourth Proportional to 65.53, 90.53 and 55.99

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Solution

The fourth proportional to 65.53, 90.53 and 55.99 is: 77.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.53 : 90.53 = 55.99 : x
  2. Step 2: Convert to fraction form
    65.53/90.53 = 55.99/x
  3. Step 3: Cross multiply
    65.53x = 90.53 × 55.99
  4. Step 4: Simplify right side
    65.53x = 5,068.77
  5. Step 5: Solve for x
    x = 5,068.77/65.53
  6. Step 6: Final answer
    x = 77.35

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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.