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Finding the Fourth Proportional to 65.48, 90.18 and 52.16

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Solution

The fourth proportional to 65.48, 90.18 and 52.16 is: 71.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.48 : 90.18 = 52.16 : x
  2. Step 2: Convert to fraction form
    65.48/90.18 = 52.16/x
  3. Step 3: Cross multiply
    65.48x = 90.18 × 52.16
  4. Step 4: Simplify right side
    65.48x = 4,703.79
  5. Step 5: Solve for x
    x = 4,703.79/65.48
  6. Step 6: Final answer
    x = 71.84

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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.